Factors of 68,000,000,068. Calculator of Proper, Improper, Prime and Compound Divisors, if Any

All the factors (divisors) of the number 68,000,000,068. Connection with the prime factorization of the number

Calculations:

Calculate all the (common) factors (divisors) of one or two numbers

To find all the divisors of the number 68,000,000,068:

1. Decompose the number into prime factors.
See how you can find out how many factors (divisors) the number has, without actually calculating them.
2. Multiply the prime factors in all their unique combinations, that yield different results.

1. Carry out the prime factorization of the number 68,000,000,068:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.

68,000,000,068 = 2² × 7 × 11 × 13 × 17 × 19 × 52,579
68,000,000,068 is not a prime number but a composite one.

Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
Examples of prime numbers: 2 (factors 1, 2), 3 (factors 1, 3), 5 (factors 1, 5), 7 (factors 1, 7), 11 (factors 1, 11), 13 (factors 1, 13), ...
Composite number: a natural number that has at least one factor other than 1 and itself. So it is neither a prime number nor 1.
Examples of composite numbers: 4 (it has 3 factors: 1, 2, 4), 6 (it has 4 factors: 1, 2, 3, 6), 8 (it has 4 factors: 1, 2, 4, 8), 9 (it has 3 factors: 1, 3, 9), 10 (it has 4 factors: 1, 2, 5, 10), 12 (it has 6 factors: 1, 2, 3, 4, 6, 12), ...
» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers (decomposition into prime factors)

How to count the number of factors of a number?

Without actually finding the factors

If a number N is prime factorized as:
N = a^m × b^k × c^z
where a, b, c are the prime factors and m, k, z are their exponents, natural numbers, ....
...
Then the number of factors of the number N can be calculated as:
n = (m + 1) × (k + 1) × (z + 1)
...
In our case, the number of factors is calculated as:
n = (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 × 2 × 2 × 2 × 2 = 192

But to actually calculate the factors, see below...

2. Multiply the prime factors of the number 68,000,000,068

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.
Also consider the exponents of these prime factors.
Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.

All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

Numbers other than 1 that are not prime factors are composite factors (divisors).

neither prime nor composite = 1

prime factor = 2

composite factor = 2² = 4

prime factor = 7

prime factor = 11

prime factor = 13

composite factor = 2 × 7 = 14

prime factor = 17

prime factor = 19

composite factor = 2 × 11 = 22

composite factor = 2 × 13 = 26

composite factor = 2² × 7 = 28

composite factor = 2 × 17 = 34

composite factor = 2 × 19 = 38

composite factor = 2² × 11 = 44

composite factor = 2² × 13 = 52

composite factor = 2² × 17 = 68

composite factor = 2² × 19 = 76

composite factor = 7 × 11 = 77

composite factor = 7 × 13 = 91

composite factor = 7 × 17 = 119

composite factor = 7 × 19 = 133

composite factor = 11 × 13 = 143

composite factor = 2 × 7 × 11 = 154

composite factor = 2 × 7 × 13 = 182

composite factor = 11 × 17 = 187

composite factor = 11 × 19 = 209

composite factor = 13 × 17 = 221

composite factor = 2 × 7 × 17 = 238

composite factor = 13 × 19 = 247

composite factor = 2 × 7 × 19 = 266

composite factor = 2 × 11 × 13 = 286

composite factor = 2² × 7 × 11 = 308

composite factor = 17 × 19 = 323

composite factor = 2² × 7 × 13 = 364

composite factor = 2 × 11 × 17 = 374

composite factor = 2 × 11 × 19 = 418

composite factor = 2 × 13 × 17 = 442

composite factor = 2² × 7 × 17 = 476

composite factor = 2 × 13 × 19 = 494

composite factor = 2² × 7 × 19 = 532

composite factor = 2² × 11 × 13 = 572

composite factor = 2 × 17 × 19 = 646

composite factor = 2² × 11 × 17 = 748

composite factor = 2² × 11 × 19 = 836

composite factor = 2² × 13 × 17 = 884

composite factor = 2² × 13 × 19 = 988

composite factor = 7 × 11 × 13 = 1,001

composite factor = 2² × 17 × 19 = 1,292

composite factor = 7 × 11 × 17 = 1,309

composite factor = 7 × 11 × 19 = 1,463

composite factor = 7 × 13 × 17 = 1,547

composite factor = 7 × 13 × 19 = 1,729

composite factor = 2 × 7 × 11 × 13 = 2,002

composite factor = 7 × 17 × 19 = 2,261

composite factor = 11 × 13 × 17 = 2,431

composite factor = 2 × 7 × 11 × 17 = 2,618

composite factor = 11 × 13 × 19 = 2,717

composite factor = 2 × 7 × 11 × 19 = 2,926

composite factor = 2 × 7 × 13 × 17 = 3,094

composite factor = 2 × 7 × 13 × 19 = 3,458

composite factor = 11 × 17 × 19 = 3,553

composite factor = 2² × 7 × 11 × 13 = 4,004

composite factor = 13 × 17 × 19 = 4,199

composite factor = 2 × 7 × 17 × 19 = 4,522

composite factor = 2 × 11 × 13 × 17 = 4,862

composite factor = 2² × 7 × 11 × 17 = 5,236

composite factor = 2 × 11 × 13 × 19 = 5,434

composite factor = 2² × 7 × 11 × 19 = 5,852

composite factor = 2² × 7 × 13 × 17 = 6,188

composite factor = 2² × 7 × 13 × 19 = 6,916

composite factor = 2 × 11 × 17 × 19 = 7,106

composite factor = 2 × 13 × 17 × 19 = 8,398

composite factor = 2² × 7 × 17 × 19 = 9,044

composite factor = 2² × 11 × 13 × 17 = 9,724

composite factor = 2² × 11 × 13 × 19 = 10,868

composite factor = 2² × 11 × 17 × 19 = 14,212

composite factor = 2² × 13 × 17 × 19 = 16,796

composite factor = 7 × 11 × 13 × 17 = 17,017

composite factor = 7 × 11 × 13 × 19 = 19,019

composite factor = 7 × 11 × 17 × 19 = 24,871

composite factor = 7 × 13 × 17 × 19 = 29,393

composite factor = 2 × 7 × 11 × 13 × 17 = 34,034

composite factor = 2 × 7 × 11 × 13 × 19 = 38,038

composite factor = 11 × 13 × 17 × 19 = 46,189

composite factor = 2 × 7 × 11 × 17 × 19 = 49,742

prime factor = 52,579

composite factor = 2 × 7 × 13 × 17 × 19 = 58,786

composite factor = 2² × 7 × 11 × 13 × 17 = 68,068

composite factor = 2² × 7 × 11 × 13 × 19 = 76,076

composite factor = 2 × 11 × 13 × 17 × 19 = 92,378

composite factor = 2² × 7 × 11 × 17 × 19 = 99,484

composite factor = 2 × 52,579 = 105,158

composite factor = 2² × 7 × 13 × 17 × 19 = 117,572

composite factor = 2² × 11 × 13 × 17 × 19 = 184,756

composite factor = 2² × 52,579 = 210,316

This list continues below...

... This list continues from above

composite factor = 7 × 11 × 13 × 17 × 19 = 323,323

composite factor = 7 × 52,579 = 368,053

composite factor = 11 × 52,579 = 578,369

composite factor = 2 × 7 × 11 × 13 × 17 × 19 = 646,646

composite factor = 13 × 52,579 = 683,527

composite factor = 2 × 7 × 52,579 = 736,106

composite factor = 17 × 52,579 = 893,843

composite factor = 19 × 52,579 = 999,001

composite factor = 2 × 11 × 52,579 = 1,156,738

composite factor = 2² × 7 × 11 × 13 × 17 × 19 = 1,293,292

composite factor = 2 × 13 × 52,579 = 1,367,054

composite factor = 2² × 7 × 52,579 = 1,472,212

composite factor = 2 × 17 × 52,579 = 1,787,686

composite factor = 2 × 19 × 52,579 = 1,998,002

composite factor = 2² × 11 × 52,579 = 2,313,476

composite factor = 2² × 13 × 52,579 = 2,734,108

composite factor = 2² × 17 × 52,579 = 3,575,372

composite factor = 2² × 19 × 52,579 = 3,996,004

composite factor = 7 × 11 × 52,579 = 4,048,583

composite factor = 7 × 13 × 52,579 = 4,784,689

composite factor = 7 × 17 × 52,579 = 6,256,901

composite factor = 7 × 19 × 52,579 = 6,993,007

composite factor = 11 × 13 × 52,579 = 7,518,797

composite factor = 2 × 7 × 11 × 52,579 = 8,097,166

composite factor = 2 × 7 × 13 × 52,579 = 9,569,378

composite factor = 11 × 17 × 52,579 = 9,832,273

composite factor = 11 × 19 × 52,579 = 10,989,011

composite factor = 13 × 17 × 52,579 = 11,619,959

composite factor = 2 × 7 × 17 × 52,579 = 12,513,802

composite factor = 13 × 19 × 52,579 = 12,987,013

composite factor = 2 × 7 × 19 × 52,579 = 13,986,014

composite factor = 2 × 11 × 13 × 52,579 = 15,037,594

composite factor = 2² × 7 × 11 × 52,579 = 16,194,332

composite factor = 17 × 19 × 52,579 = 16,983,017

composite factor = 2² × 7 × 13 × 52,579 = 19,138,756

composite factor = 2 × 11 × 17 × 52,579 = 19,664,546

composite factor = 2 × 11 × 19 × 52,579 = 21,978,022

composite factor = 2 × 13 × 17 × 52,579 = 23,239,918

composite factor = 2² × 7 × 17 × 52,579 = 25,027,604

composite factor = 2 × 13 × 19 × 52,579 = 25,974,026

composite factor = 2² × 7 × 19 × 52,579 = 27,972,028

composite factor = 2² × 11 × 13 × 52,579 = 30,075,188

composite factor = 2 × 17 × 19 × 52,579 = 33,966,034

composite factor = 2² × 11 × 17 × 52,579 = 39,329,092

composite factor = 2² × 11 × 19 × 52,579 = 43,956,044

composite factor = 2² × 13 × 17 × 52,579 = 46,479,836

composite factor = 2² × 13 × 19 × 52,579 = 51,948,052

composite factor = 7 × 11 × 13 × 52,579 = 52,631,579

composite factor = 2² × 17 × 19 × 52,579 = 67,932,068

composite factor = 7 × 11 × 17 × 52,579 = 68,825,911

composite factor = 7 × 11 × 19 × 52,579 = 76,923,077

composite factor = 7 × 13 × 17 × 52,579 = 81,339,713

composite factor = 7 × 13 × 19 × 52,579 = 90,909,091

composite factor = 2 × 7 × 11 × 13 × 52,579 = 105,263,158

composite factor = 7 × 17 × 19 × 52,579 = 118,881,119

composite factor = 11 × 13 × 17 × 52,579 = 127,819,549

composite factor = 2 × 7 × 11 × 17 × 52,579 = 137,651,822

composite factor = 11 × 13 × 19 × 52,579 = 142,857,143

composite factor = 2 × 7 × 11 × 19 × 52,579 = 153,846,154

composite factor = 2 × 7 × 13 × 17 × 52,579 = 162,679,426

composite factor = 2 × 7 × 13 × 19 × 52,579 = 181,818,182

composite factor = 11 × 17 × 19 × 52,579 = 186,813,187

composite factor = 2² × 7 × 11 × 13 × 52,579 = 210,526,316

composite factor = 13 × 17 × 19 × 52,579 = 220,779,221

composite factor = 2 × 7 × 17 × 19 × 52,579 = 237,762,238

composite factor = 2 × 11 × 13 × 17 × 52,579 = 255,639,098

composite factor = 2² × 7 × 11 × 17 × 52,579 = 275,303,644

composite factor = 2 × 11 × 13 × 19 × 52,579 = 285,714,286

composite factor = 2² × 7 × 11 × 19 × 52,579 = 307,692,308

composite factor = 2² × 7 × 13 × 17 × 52,579 = 325,358,852

composite factor = 2² × 7 × 13 × 19 × 52,579 = 363,636,364

composite factor = 2 × 11 × 17 × 19 × 52,579 = 373,626,374

composite factor = 2 × 13 × 17 × 19 × 52,579 = 441,558,442

composite factor = 2² × 7 × 17 × 19 × 52,579 = 475,524,476

composite factor = 2² × 11 × 13 × 17 × 52,579 = 511,278,196

composite factor = 2² × 11 × 13 × 19 × 52,579 = 571,428,572

composite factor = 2² × 11 × 17 × 19 × 52,579 = 747,252,748

composite factor = 2² × 13 × 17 × 19 × 52,579 = 883,116,884

composite factor = 7 × 11 × 13 × 17 × 52,579 = 894,736,843

composite factor = 7 × 11 × 13 × 19 × 52,579 = 1,000,000,001

composite factor = 7 × 11 × 17 × 19 × 52,579 = 1,307,692,309

composite factor = 7 × 13 × 17 × 19 × 52,579 = 1,545,454,547

composite factor = 2 × 7 × 11 × 13 × 17 × 52,579 = 1,789,473,686

composite factor = 2 × 7 × 11 × 13 × 19 × 52,579 = 2,000,000,002

composite factor = 11 × 13 × 17 × 19 × 52,579 = 2,428,571,431

composite factor = 2 × 7 × 11 × 17 × 19 × 52,579 = 2,615,384,618

composite factor = 2 × 7 × 13 × 17 × 19 × 52,579 = 3,090,909,094

composite factor = 2² × 7 × 11 × 13 × 17 × 52,579 = 3,578,947,372

composite factor = 2² × 7 × 11 × 13 × 19 × 52,579 = 4,000,000,004

composite factor = 2 × 11 × 13 × 17 × 19 × 52,579 = 4,857,142,862

composite factor = 2² × 7 × 11 × 17 × 19 × 52,579 = 5,230,769,236

composite factor = 2² × 7 × 13 × 17 × 19 × 52,579 = 6,181,818,188

composite factor = 2² × 11 × 13 × 17 × 19 × 52,579 = 9,714,285,724

composite factor = 7 × 11 × 13 × 17 × 19 × 52,579 = 17,000,000,017

composite factor = 2 × 7 × 11 × 13 × 17 × 19 × 52,579 = 34,000,000,034

composite factor = 2² × 7 × 11 × 13 × 17 × 19 × 52,579 = 68,000,000,068

192 factors (divisors)

What times what is 68,000,000,068?
What number multiplied by what number equals 68,000,000,068?

All the combinations of any two natural numbers whose product equals 68,000,000,068.

1 × 68,000,000,068 = 68,000,000,068

2 × 34,000,000,034 = 68,000,000,068

4 × 17,000,000,017 = 68,000,000,068

7 × 9,714,285,724 = 68,000,000,068

11 × 6,181,818,188 = 68,000,000,068

13 × 5,230,769,236 = 68,000,000,068

14 × 4,857,142,862 = 68,000,000,068

17 × 4,000,000,004 = 68,000,000,068

19 × 3,578,947,372 = 68,000,000,068

22 × 3,090,909,094 = 68,000,000,068

26 × 2,615,384,618 = 68,000,000,068

28 × 2,428,571,431 = 68,000,000,068

34 × 2,000,000,002 = 68,000,000,068

38 × 1,789,473,686 = 68,000,000,068

44 × 1,545,454,547 = 68,000,000,068

52 × 1,307,692,309 = 68,000,000,068

68 × 1,000,000,001 = 68,000,000,068

76 × 894,736,843 = 68,000,000,068

77 × 883,116,884 = 68,000,000,068

91 × 747,252,748 = 68,000,000,068

119 × 571,428,572 = 68,000,000,068

133 × 511,278,196 = 68,000,000,068

143 × 475,524,476 = 68,000,000,068

154 × 441,558,442 = 68,000,000,068

182 × 373,626,374 = 68,000,000,068

187 × 363,636,364 = 68,000,000,068

209 × 325,358,852 = 68,000,000,068

221 × 307,692,308 = 68,000,000,068

238 × 285,714,286 = 68,000,000,068

247 × 275,303,644 = 68,000,000,068

266 × 255,639,098 = 68,000,000,068

286 × 237,762,238 = 68,000,000,068

308 × 220,779,221 = 68,000,000,068

323 × 210,526,316 = 68,000,000,068

364 × 186,813,187 = 68,000,000,068

374 × 181,818,182 = 68,000,000,068

418 × 162,679,426 = 68,000,000,068

442 × 153,846,154 = 68,000,000,068

476 × 142,857,143 = 68,000,000,068

494 × 137,651,822 = 68,000,000,068

532 × 127,819,549 = 68,000,000,068

572 × 118,881,119 = 68,000,000,068

646 × 105,263,158 = 68,000,000,068

748 × 90,909,091 = 68,000,000,068

836 × 81,339,713 = 68,000,000,068

884 × 76,923,077 = 68,000,000,068

988 × 68,825,911 = 68,000,000,068

1,001 × 67,932,068 = 68,000,000,068

1,292 × 52,631,579 = 68,000,000,068

1,309 × 51,948,052 = 68,000,000,068

1,463 × 46,479,836 = 68,000,000,068

1,547 × 43,956,044 = 68,000,000,068

1,729 × 39,329,092 = 68,000,000,068

2,002 × 33,966,034 = 68,000,000,068

2,261 × 30,075,188 = 68,000,000,068

2,431 × 27,972,028 = 68,000,000,068

2,618 × 25,974,026 = 68,000,000,068

2,717 × 25,027,604 = 68,000,000,068

2,926 × 23,239,918 = 68,000,000,068

3,094 × 21,978,022 = 68,000,000,068

3,458 × 19,664,546 = 68,000,000,068

3,553 × 19,138,756 = 68,000,000,068

4,004 × 16,983,017 = 68,000,000,068

4,199 × 16,194,332 = 68,000,000,068

4,522 × 15,037,594 = 68,000,000,068

4,862 × 13,986,014 = 68,000,000,068

5,236 × 12,987,013 = 68,000,000,068

5,434 × 12,513,802 = 68,000,000,068

5,852 × 11,619,959 = 68,000,000,068

6,188 × 10,989,011 = 68,000,000,068

6,916 × 9,832,273 = 68,000,000,068

7,106 × 9,569,378 = 68,000,000,068

8,398 × 8,097,166 = 68,000,000,068

9,044 × 7,518,797 = 68,000,000,068

9,724 × 6,993,007 = 68,000,000,068

10,868 × 6,256,901 = 68,000,000,068

14,212 × 4,784,689 = 68,000,000,068

16,796 × 4,048,583 = 68,000,000,068

17,017 × 3,996,004 = 68,000,000,068

19,019 × 3,575,372 = 68,000,000,068

24,871 × 2,734,108 = 68,000,000,068

29,393 × 2,313,476 = 68,000,000,068

34,034 × 1,998,002 = 68,000,000,068

38,038 × 1,787,686 = 68,000,000,068

46,189 × 1,472,212 = 68,000,000,068

49,742 × 1,367,054 = 68,000,000,068

52,579 × 1,293,292 = 68,000,000,068

58,786 × 1,156,738 = 68,000,000,068

68,068 × 999,001 = 68,000,000,068

76,076 × 893,843 = 68,000,000,068

92,378 × 736,106 = 68,000,000,068

99,484 × 683,527 = 68,000,000,068

105,158 × 646,646 = 68,000,000,068

117,572 × 578,369 = 68,000,000,068

184,756 × 368,053 = 68,000,000,068

210,316 × 323,323 = 68,000,000,068

96 unique multiplications

The final answer:
(scroll down)

68,000,000,068 has 192 factors (divisors):
1; 2; 4; 7; 11; 13; 14; 17; 19; 22; 26; 28; 34; 38; 44; 52; 68; 76; 77; 91; 119; 133; 143; 154; 182; 187; 209; 221; 238; 247; 266; 286; 308; 323; 364; 374; 418; 442; 476; 494; 532; 572; 646; 748; 836; 884; 988; 1,001; 1,292; 1,309; 1,463; 1,547; 1,729; 2,002; 2,261; 2,431; 2,618; 2,717; 2,926; 3,094; 3,458; 3,553; 4,004; 4,199; 4,522; 4,862; 5,236; 5,434; 5,852; 6,188; 6,916; 7,106; 8,398; 9,044; 9,724; 10,868; 14,212; 16,796; 17,017; 19,019; 24,871; 29,393; 34,034; 38,038; 46,189; 49,742; 52,579; 58,786; 68,068; 76,076; 92,378; 99,484; 105,158; 117,572; 184,756; 210,316; 323,323; 368,053; 578,369; 646,646; 683,527; 736,106; 893,843; 999,001; 1,156,738; 1,293,292; 1,367,054; 1,472,212; 1,787,686; 1,998,002; 2,313,476; 2,734,108; 3,575,372; 3,996,004; 4,048,583; 4,784,689; 6,256,901; 6,993,007; 7,518,797; 8,097,166; 9,569,378; 9,832,273; 10,989,011; 11,619,959; 12,513,802; 12,987,013; 13,986,014; 15,037,594; 16,194,332; 16,983,017; 19,138,756; 19,664,546; 21,978,022; 23,239,918; 25,027,604; 25,974,026; 27,972,028; 30,075,188; 33,966,034; 39,329,092; 43,956,044; 46,479,836; 51,948,052; 52,631,579; 67,932,068; 68,825,911; 76,923,077; 81,339,713; 90,909,091; 105,263,158; 118,881,119; 127,819,549; 137,651,822; 142,857,143; 153,846,154; 162,679,426; 181,818,182; 186,813,187; 210,526,316; 220,779,221; 237,762,238; 255,639,098; 275,303,644; 285,714,286; 307,692,308; 325,358,852; 363,636,364; 373,626,374; 441,558,442; 475,524,476; 511,278,196; 571,428,572; 747,252,748; 883,116,884; 894,736,843; 1,000,000,001; 1,307,692,309; 1,545,454,547; 1,789,473,686; 2,000,000,002; 2,428,571,431; 2,615,384,618; 3,090,909,094; 3,578,947,372; 4,000,000,004; 4,857,142,862; 5,230,769,236; 6,181,818,188; 9,714,285,724; 17,000,000,017; 34,000,000,034 and 68,000,000,068
out of which 7 prime factors: 2; 7; 11; 13; 17; 19 and 52,579.
Numbers other than 1 that are not prime factors are composite factors (divisors).
68,000,000,068 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.
Then multiply the prime factors and their exponents, if any, in all their different combinations.

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Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
Hint: 2³ = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 2³ is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.

For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
12 = 2 × 2 × 3 = 2² × 3
120 = 2 × 2 × 2 × 3 × 5 = 2³ × 3 × 5
120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.

If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".

For example, 12 is the common factor of 48 and 360.
The remainder is zero when dividing either 48 or 360 by 12.
Here there are the prime factorizations of the three numbers, 12, 48 and 360:
12 = 2² × 3
48 = 2⁴ × 3
360 = 2³ × 3² × 5
Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.

The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...

GCF, GCD (1,260; 3,024; 5,544) = ?
1,260 = 2² × 3²
3,024 = 2⁴ × 3² × 7
5,544 = 2³ × 3² × 7 × 11
The common prime factors are:
2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
GCF, GCD (1,260; 3,024; 5,544) = 2² × 3² = 252

Coprime numbers:
If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).

Factors of the GCF
If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".