Factors of 85,000,000,428. Calculator of Proper, Improper, Prime and Compound Divisors, if Any

All the factors (divisors) of the number 85,000,000,428. 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 85,000,000,428:

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 85,000,000,428:

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

85,000,000,428 = 2² × 3³ × 7 × 43 × 383 × 6,827
85,000,000,428 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) × (3 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 3 × 4 × 2 × 2 × 2 × 2 = 192

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

2. Multiply the prime factors of the number 85,000,000,428

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

prime factor = 3

composite factor = 2² = 4

composite factor = 2 × 3 = 6

prime factor = 7

composite factor = 3² = 9

composite factor = 2² × 3 = 12

composite factor = 2 × 7 = 14

composite factor = 2 × 3² = 18

composite factor = 3 × 7 = 21

composite factor = 3³ = 27

composite factor = 2² × 7 = 28

composite factor = 2² × 3² = 36

composite factor = 2 × 3 × 7 = 42

prime factor = 43

composite factor = 2 × 3³ = 54

composite factor = 3² × 7 = 63

composite factor = 2² × 3 × 7 = 84

composite factor = 2 × 43 = 86

composite factor = 2² × 3³ = 108

composite factor = 2 × 3² × 7 = 126

composite factor = 3 × 43 = 129

composite factor = 2² × 43 = 172

composite factor = 3³ × 7 = 189

composite factor = 2² × 3² × 7 = 252

composite factor = 2 × 3 × 43 = 258

composite factor = 7 × 43 = 301

composite factor = 2 × 3³ × 7 = 378

prime factor = 383

composite factor = 3² × 43 = 387

composite factor = 2² × 3 × 43 = 516

composite factor = 2 × 7 × 43 = 602

composite factor = 2² × 3³ × 7 = 756

composite factor = 2 × 383 = 766

composite factor = 2 × 3² × 43 = 774

composite factor = 3 × 7 × 43 = 903

composite factor = 3 × 383 = 1,149

composite factor = 3³ × 43 = 1,161

composite factor = 2² × 7 × 43 = 1,204

composite factor = 2² × 383 = 1,532

composite factor = 2² × 3² × 43 = 1,548

composite factor = 2 × 3 × 7 × 43 = 1,806

composite factor = 2 × 3 × 383 = 2,298

composite factor = 2 × 3³ × 43 = 2,322

composite factor = 7 × 383 = 2,681

composite factor = 3² × 7 × 43 = 2,709

composite factor = 3² × 383 = 3,447

composite factor = 2² × 3 × 7 × 43 = 3,612

composite factor = 2² × 3 × 383 = 4,596

composite factor = 2² × 3³ × 43 = 4,644

composite factor = 2 × 7 × 383 = 5,362

composite factor = 2 × 3² × 7 × 43 = 5,418

prime factor = 6,827

composite factor = 2 × 3² × 383 = 6,894

composite factor = 3 × 7 × 383 = 8,043

composite factor = 3³ × 7 × 43 = 8,127

composite factor = 3³ × 383 = 10,341

composite factor = 2² × 7 × 383 = 10,724

composite factor = 2² × 3² × 7 × 43 = 10,836

composite factor = 2 × 6,827 = 13,654

composite factor = 2² × 3² × 383 = 13,788

composite factor = 2 × 3 × 7 × 383 = 16,086

composite factor = 2 × 3³ × 7 × 43 = 16,254

composite factor = 43 × 383 = 16,469

composite factor = 3 × 6,827 = 20,481

composite factor = 2 × 3³ × 383 = 20,682

composite factor = 3² × 7 × 383 = 24,129

composite factor = 2² × 6,827 = 27,308

composite factor = 2² × 3 × 7 × 383 = 32,172

composite factor = 2² × 3³ × 7 × 43 = 32,508

composite factor = 2 × 43 × 383 = 32,938

composite factor = 2 × 3 × 6,827 = 40,962

composite factor = 2² × 3³ × 383 = 41,364

composite factor = 7 × 6,827 = 47,789

composite factor = 2 × 3² × 7 × 383 = 48,258

composite factor = 3 × 43 × 383 = 49,407

composite factor = 3² × 6,827 = 61,443

composite factor = 2² × 43 × 383 = 65,876

composite factor = 3³ × 7 × 383 = 72,387

composite factor = 2² × 3 × 6,827 = 81,924

composite factor = 2 × 7 × 6,827 = 95,578

composite factor = 2² × 3² × 7 × 383 = 96,516

composite factor = 2 × 3 × 43 × 383 = 98,814

composite factor = 7 × 43 × 383 = 115,283

composite factor = 2 × 3² × 6,827 = 122,886

composite factor = 3 × 7 × 6,827 = 143,367

composite factor = 2 × 3³ × 7 × 383 = 144,774

composite factor = 3² × 43 × 383 = 148,221

composite factor = 3³ × 6,827 = 184,329

composite factor = 2² × 7 × 6,827 = 191,156

composite factor = 2² × 3 × 43 × 383 = 197,628

composite factor = 2 × 7 × 43 × 383 = 230,566

composite factor = 2² × 3² × 6,827 = 245,772

composite factor = 2 × 3 × 7 × 6,827 = 286,734

composite factor = 2² × 3³ × 7 × 383 = 289,548

This list continues below...

... This list continues from above

composite factor = 43 × 6,827 = 293,561

composite factor = 2 × 3² × 43 × 383 = 296,442

composite factor = 3 × 7 × 43 × 383 = 345,849

composite factor = 2 × 3³ × 6,827 = 368,658

composite factor = 3² × 7 × 6,827 = 430,101

composite factor = 3³ × 43 × 383 = 444,663

composite factor = 2² × 7 × 43 × 383 = 461,132

composite factor = 2² × 3 × 7 × 6,827 = 573,468

composite factor = 2 × 43 × 6,827 = 587,122

composite factor = 2² × 3² × 43 × 383 = 592,884

composite factor = 2 × 3 × 7 × 43 × 383 = 691,698

composite factor = 2² × 3³ × 6,827 = 737,316

composite factor = 2 × 3² × 7 × 6,827 = 860,202

composite factor = 3 × 43 × 6,827 = 880,683

composite factor = 2 × 3³ × 43 × 383 = 889,326

composite factor = 3² × 7 × 43 × 383 = 1,037,547

composite factor = 2² × 43 × 6,827 = 1,174,244

composite factor = 3³ × 7 × 6,827 = 1,290,303

composite factor = 2² × 3 × 7 × 43 × 383 = 1,383,396

composite factor = 2² × 3² × 7 × 6,827 = 1,720,404

composite factor = 2 × 3 × 43 × 6,827 = 1,761,366

composite factor = 2² × 3³ × 43 × 383 = 1,778,652

composite factor = 7 × 43 × 6,827 = 2,054,927

composite factor = 2 × 3² × 7 × 43 × 383 = 2,075,094

composite factor = 2 × 3³ × 7 × 6,827 = 2,580,606

composite factor = 383 × 6,827 = 2,614,741

composite factor = 3² × 43 × 6,827 = 2,642,049

composite factor = 3³ × 7 × 43 × 383 = 3,112,641

composite factor = 2² × 3 × 43 × 6,827 = 3,522,732

composite factor = 2 × 7 × 43 × 6,827 = 4,109,854

composite factor = 2² × 3² × 7 × 43 × 383 = 4,150,188

composite factor = 2² × 3³ × 7 × 6,827 = 5,161,212

composite factor = 2 × 383 × 6,827 = 5,229,482

composite factor = 2 × 3² × 43 × 6,827 = 5,284,098

composite factor = 3 × 7 × 43 × 6,827 = 6,164,781

composite factor = 2 × 3³ × 7 × 43 × 383 = 6,225,282

composite factor = 3 × 383 × 6,827 = 7,844,223

composite factor = 3³ × 43 × 6,827 = 7,926,147

composite factor = 2² × 7 × 43 × 6,827 = 8,219,708

composite factor = 2² × 383 × 6,827 = 10,458,964

composite factor = 2² × 3² × 43 × 6,827 = 10,568,196

composite factor = 2 × 3 × 7 × 43 × 6,827 = 12,329,562

composite factor = 2² × 3³ × 7 × 43 × 383 = 12,450,564

composite factor = 2 × 3 × 383 × 6,827 = 15,688,446

composite factor = 2 × 3³ × 43 × 6,827 = 15,852,294

composite factor = 7 × 383 × 6,827 = 18,303,187

composite factor = 3² × 7 × 43 × 6,827 = 18,494,343

composite factor = 3² × 383 × 6,827 = 23,532,669

composite factor = 2² × 3 × 7 × 43 × 6,827 = 24,659,124

composite factor = 2² × 3 × 383 × 6,827 = 31,376,892

composite factor = 2² × 3³ × 43 × 6,827 = 31,704,588

composite factor = 2 × 7 × 383 × 6,827 = 36,606,374

composite factor = 2 × 3² × 7 × 43 × 6,827 = 36,988,686

composite factor = 2 × 3² × 383 × 6,827 = 47,065,338

composite factor = 3 × 7 × 383 × 6,827 = 54,909,561

composite factor = 3³ × 7 × 43 × 6,827 = 55,483,029

composite factor = 3³ × 383 × 6,827 = 70,598,007

composite factor = 2² × 7 × 383 × 6,827 = 73,212,748

composite factor = 2² × 3² × 7 × 43 × 6,827 = 73,977,372

composite factor = 2² × 3² × 383 × 6,827 = 94,130,676

composite factor = 2 × 3 × 7 × 383 × 6,827 = 109,819,122

composite factor = 2 × 3³ × 7 × 43 × 6,827 = 110,966,058

composite factor = 43 × 383 × 6,827 = 112,433,863

composite factor = 2 × 3³ × 383 × 6,827 = 141,196,014

composite factor = 3² × 7 × 383 × 6,827 = 164,728,683

composite factor = 2² × 3 × 7 × 383 × 6,827 = 219,638,244

composite factor = 2² × 3³ × 7 × 43 × 6,827 = 221,932,116

composite factor = 2 × 43 × 383 × 6,827 = 224,867,726

composite factor = 2² × 3³ × 383 × 6,827 = 282,392,028

composite factor = 2 × 3² × 7 × 383 × 6,827 = 329,457,366

composite factor = 3 × 43 × 383 × 6,827 = 337,301,589

composite factor = 2² × 43 × 383 × 6,827 = 449,735,452

composite factor = 3³ × 7 × 383 × 6,827 = 494,186,049

composite factor = 2² × 3² × 7 × 383 × 6,827 = 658,914,732

composite factor = 2 × 3 × 43 × 383 × 6,827 = 674,603,178

composite factor = 7 × 43 × 383 × 6,827 = 787,037,041

composite factor = 2 × 3³ × 7 × 383 × 6,827 = 988,372,098

composite factor = 3² × 43 × 383 × 6,827 = 1,011,904,767

composite factor = 2² × 3 × 43 × 383 × 6,827 = 1,349,206,356

composite factor = 2 × 7 × 43 × 383 × 6,827 = 1,574,074,082

composite factor = 2² × 3³ × 7 × 383 × 6,827 = 1,976,744,196

composite factor = 2 × 3² × 43 × 383 × 6,827 = 2,023,809,534

composite factor = 3 × 7 × 43 × 383 × 6,827 = 2,361,111,123

composite factor = 3³ × 43 × 383 × 6,827 = 3,035,714,301

composite factor = 2² × 7 × 43 × 383 × 6,827 = 3,148,148,164

composite factor = 2² × 3² × 43 × 383 × 6,827 = 4,047,619,068

composite factor = 2 × 3 × 7 × 43 × 383 × 6,827 = 4,722,222,246

composite factor = 2 × 3³ × 43 × 383 × 6,827 = 6,071,428,602

composite factor = 3² × 7 × 43 × 383 × 6,827 = 7,083,333,369

composite factor = 2² × 3 × 7 × 43 × 383 × 6,827 = 9,444,444,492

composite factor = 2² × 3³ × 43 × 383 × 6,827 = 12,142,857,204

composite factor = 2 × 3² × 7 × 43 × 383 × 6,827 = 14,166,666,738

composite factor = 3³ × 7 × 43 × 383 × 6,827 = 21,250,000,107

composite factor = 2² × 3² × 7 × 43 × 383 × 6,827 = 28,333,333,476

composite factor = 2 × 3³ × 7 × 43 × 383 × 6,827 = 42,500,000,214

composite factor = 2² × 3³ × 7 × 43 × 383 × 6,827 = 85,000,000,428

192 factors (divisors)

What times what is 85,000,000,428?
What number multiplied by what number equals 85,000,000,428?

All the combinations of any two natural numbers whose product equals 85,000,000,428.

1 × 85,000,000,428 = 85,000,000,428

2 × 42,500,000,214 = 85,000,000,428

3 × 28,333,333,476 = 85,000,000,428

4 × 21,250,000,107 = 85,000,000,428

6 × 14,166,666,738 = 85,000,000,428

7 × 12,142,857,204 = 85,000,000,428

9 × 9,444,444,492 = 85,000,000,428

12 × 7,083,333,369 = 85,000,000,428

14 × 6,071,428,602 = 85,000,000,428

18 × 4,722,222,246 = 85,000,000,428

21 × 4,047,619,068 = 85,000,000,428

27 × 3,148,148,164 = 85,000,000,428

28 × 3,035,714,301 = 85,000,000,428

36 × 2,361,111,123 = 85,000,000,428

42 × 2,023,809,534 = 85,000,000,428

43 × 1,976,744,196 = 85,000,000,428

54 × 1,574,074,082 = 85,000,000,428

63 × 1,349,206,356 = 85,000,000,428

84 × 1,011,904,767 = 85,000,000,428

86 × 988,372,098 = 85,000,000,428

108 × 787,037,041 = 85,000,000,428

126 × 674,603,178 = 85,000,000,428

129 × 658,914,732 = 85,000,000,428

172 × 494,186,049 = 85,000,000,428

189 × 449,735,452 = 85,000,000,428

252 × 337,301,589 = 85,000,000,428

258 × 329,457,366 = 85,000,000,428

301 × 282,392,028 = 85,000,000,428

378 × 224,867,726 = 85,000,000,428

383 × 221,932,116 = 85,000,000,428

387 × 219,638,244 = 85,000,000,428

516 × 164,728,683 = 85,000,000,428

602 × 141,196,014 = 85,000,000,428

756 × 112,433,863 = 85,000,000,428

766 × 110,966,058 = 85,000,000,428

774 × 109,819,122 = 85,000,000,428

903 × 94,130,676 = 85,000,000,428

1,149 × 73,977,372 = 85,000,000,428

1,161 × 73,212,748 = 85,000,000,428

1,204 × 70,598,007 = 85,000,000,428

1,532 × 55,483,029 = 85,000,000,428

1,548 × 54,909,561 = 85,000,000,428

1,806 × 47,065,338 = 85,000,000,428

2,298 × 36,988,686 = 85,000,000,428

2,322 × 36,606,374 = 85,000,000,428

2,681 × 31,704,588 = 85,000,000,428

2,709 × 31,376,892 = 85,000,000,428

3,447 × 24,659,124 = 85,000,000,428

3,612 × 23,532,669 = 85,000,000,428

4,596 × 18,494,343 = 85,000,000,428

4,644 × 18,303,187 = 85,000,000,428

5,362 × 15,852,294 = 85,000,000,428

5,418 × 15,688,446 = 85,000,000,428

6,827 × 12,450,564 = 85,000,000,428

6,894 × 12,329,562 = 85,000,000,428

8,043 × 10,568,196 = 85,000,000,428

8,127 × 10,458,964 = 85,000,000,428

10,341 × 8,219,708 = 85,000,000,428

10,724 × 7,926,147 = 85,000,000,428

10,836 × 7,844,223 = 85,000,000,428

13,654 × 6,225,282 = 85,000,000,428

13,788 × 6,164,781 = 85,000,000,428

16,086 × 5,284,098 = 85,000,000,428

16,254 × 5,229,482 = 85,000,000,428

16,469 × 5,161,212 = 85,000,000,428

20,481 × 4,150,188 = 85,000,000,428

20,682 × 4,109,854 = 85,000,000,428

24,129 × 3,522,732 = 85,000,000,428

27,308 × 3,112,641 = 85,000,000,428

32,172 × 2,642,049 = 85,000,000,428

32,508 × 2,614,741 = 85,000,000,428

32,938 × 2,580,606 = 85,000,000,428

40,962 × 2,075,094 = 85,000,000,428

41,364 × 2,054,927 = 85,000,000,428

47,789 × 1,778,652 = 85,000,000,428

48,258 × 1,761,366 = 85,000,000,428

49,407 × 1,720,404 = 85,000,000,428

61,443 × 1,383,396 = 85,000,000,428

65,876 × 1,290,303 = 85,000,000,428

72,387 × 1,174,244 = 85,000,000,428

81,924 × 1,037,547 = 85,000,000,428

95,578 × 889,326 = 85,000,000,428

96,516 × 880,683 = 85,000,000,428

98,814 × 860,202 = 85,000,000,428

115,283 × 737,316 = 85,000,000,428

122,886 × 691,698 = 85,000,000,428

143,367 × 592,884 = 85,000,000,428

144,774 × 587,122 = 85,000,000,428

148,221 × 573,468 = 85,000,000,428

184,329 × 461,132 = 85,000,000,428

191,156 × 444,663 = 85,000,000,428

197,628 × 430,101 = 85,000,000,428

230,566 × 368,658 = 85,000,000,428

245,772 × 345,849 = 85,000,000,428

286,734 × 296,442 = 85,000,000,428

289,548 × 293,561 = 85,000,000,428

96 unique multiplications

The final answer:
(scroll down)

85,000,000,428 has 192 factors (divisors):
1; 2; 3; 4; 6; 7; 9; 12; 14; 18; 21; 27; 28; 36; 42; 43; 54; 63; 84; 86; 108; 126; 129; 172; 189; 252; 258; 301; 378; 383; 387; 516; 602; 756; 766; 774; 903; 1,149; 1,161; 1,204; 1,532; 1,548; 1,806; 2,298; 2,322; 2,681; 2,709; 3,447; 3,612; 4,596; 4,644; 5,362; 5,418; 6,827; 6,894; 8,043; 8,127; 10,341; 10,724; 10,836; 13,654; 13,788; 16,086; 16,254; 16,469; 20,481; 20,682; 24,129; 27,308; 32,172; 32,508; 32,938; 40,962; 41,364; 47,789; 48,258; 49,407; 61,443; 65,876; 72,387; 81,924; 95,578; 96,516; 98,814; 115,283; 122,886; 143,367; 144,774; 148,221; 184,329; 191,156; 197,628; 230,566; 245,772; 286,734; 289,548; 293,561; 296,442; 345,849; 368,658; 430,101; 444,663; 461,132; 573,468; 587,122; 592,884; 691,698; 737,316; 860,202; 880,683; 889,326; 1,037,547; 1,174,244; 1,290,303; 1,383,396; 1,720,404; 1,761,366; 1,778,652; 2,054,927; 2,075,094; 2,580,606; 2,614,741; 2,642,049; 3,112,641; 3,522,732; 4,109,854; 4,150,188; 5,161,212; 5,229,482; 5,284,098; 6,164,781; 6,225,282; 7,844,223; 7,926,147; 8,219,708; 10,458,964; 10,568,196; 12,329,562; 12,450,564; 15,688,446; 15,852,294; 18,303,187; 18,494,343; 23,532,669; 24,659,124; 31,376,892; 31,704,588; 36,606,374; 36,988,686; 47,065,338; 54,909,561; 55,483,029; 70,598,007; 73,212,748; 73,977,372; 94,130,676; 109,819,122; 110,966,058; 112,433,863; 141,196,014; 164,728,683; 219,638,244; 221,932,116; 224,867,726; 282,392,028; 329,457,366; 337,301,589; 449,735,452; 494,186,049; 658,914,732; 674,603,178; 787,037,041; 988,372,098; 1,011,904,767; 1,349,206,356; 1,574,074,082; 1,976,744,196; 2,023,809,534; 2,361,111,123; 3,035,714,301; 3,148,148,164; 4,047,619,068; 4,722,222,246; 6,071,428,602; 7,083,333,369; 9,444,444,492; 12,142,857,204; 14,166,666,738; 21,250,000,107; 28,333,333,476; 42,500,000,214 and 85,000,000,428
out of which 6 prime factors: 2; 3; 7; 43; 383 and 6,827.
Numbers other than 1 that are not prime factors are composite factors (divisors).
85,000,000,428 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".