Factors of 3,473,607,384. Calculator of Proper, Improper, Prime and Compound Divisors, if Any

All the factors (divisors) of the number 3,473,607,384. Connection with the prime factorization of the number

To find all the divisors of the number 3,473,607,384:

  • 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 3,473,607,384:

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


3,473,607,384 = 23 × 32 × 13 × 23 × 317 × 509
3,473,607,384 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 = am × bk × cz
    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 = (3 + 1) × (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 4 × 3 × 2 × 2 × 2 × 2 = 192

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

2. Multiply the prime factors of the number 3,473,607,384

  • 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
composite factor = 23 = 8
composite factor = 32 = 9
composite factor = 22 × 3 = 12
prime factor = 13
composite factor = 2 × 32 = 18
prime factor = 23
composite factor = 23 × 3 = 24
composite factor = 2 × 13 = 26
composite factor = 22 × 32 = 36
composite factor = 3 × 13 = 39
composite factor = 2 × 23 = 46
composite factor = 22 × 13 = 52
composite factor = 3 × 23 = 69
composite factor = 23 × 32 = 72
composite factor = 2 × 3 × 13 = 78
composite factor = 22 × 23 = 92
composite factor = 23 × 13 = 104
composite factor = 32 × 13 = 117
composite factor = 2 × 3 × 23 = 138
composite factor = 22 × 3 × 13 = 156
composite factor = 23 × 23 = 184
composite factor = 32 × 23 = 207
composite factor = 2 × 32 × 13 = 234
composite factor = 22 × 3 × 23 = 276
composite factor = 13 × 23 = 299
composite factor = 23 × 3 × 13 = 312
prime factor = 317
composite factor = 2 × 32 × 23 = 414
composite factor = 22 × 32 × 13 = 468
prime factor = 509
composite factor = 23 × 3 × 23 = 552
composite factor = 2 × 13 × 23 = 598
composite factor = 2 × 317 = 634
composite factor = 22 × 32 × 23 = 828
composite factor = 3 × 13 × 23 = 897
composite factor = 23 × 32 × 13 = 936
composite factor = 3 × 317 = 951
composite factor = 2 × 509 = 1,018
composite factor = 22 × 13 × 23 = 1,196
composite factor = 22 × 317 = 1,268
composite factor = 3 × 509 = 1,527
composite factor = 23 × 32 × 23 = 1,656
composite factor = 2 × 3 × 13 × 23 = 1,794
composite factor = 2 × 3 × 317 = 1,902
composite factor = 22 × 509 = 2,036
composite factor = 23 × 13 × 23 = 2,392
composite factor = 23 × 317 = 2,536
composite factor = 32 × 13 × 23 = 2,691
composite factor = 32 × 317 = 2,853
composite factor = 2 × 3 × 509 = 3,054
composite factor = 22 × 3 × 13 × 23 = 3,588
composite factor = 22 × 3 × 317 = 3,804
composite factor = 23 × 509 = 4,072
composite factor = 13 × 317 = 4,121
composite factor = 32 × 509 = 4,581
composite factor = 2 × 32 × 13 × 23 = 5,382
composite factor = 2 × 32 × 317 = 5,706
composite factor = 22 × 3 × 509 = 6,108
composite factor = 13 × 509 = 6,617
composite factor = 23 × 3 × 13 × 23 = 7,176
composite factor = 23 × 317 = 7,291
composite factor = 23 × 3 × 317 = 7,608
composite factor = 2 × 13 × 317 = 8,242
composite factor = 2 × 32 × 509 = 9,162
composite factor = 22 × 32 × 13 × 23 = 10,764
composite factor = 22 × 32 × 317 = 11,412
composite factor = 23 × 509 = 11,707
composite factor = 23 × 3 × 509 = 12,216
composite factor = 3 × 13 × 317 = 12,363
composite factor = 2 × 13 × 509 = 13,234
composite factor = 2 × 23 × 317 = 14,582
composite factor = 22 × 13 × 317 = 16,484
composite factor = 22 × 32 × 509 = 18,324
composite factor = 3 × 13 × 509 = 19,851
composite factor = 23 × 32 × 13 × 23 = 21,528
composite factor = 3 × 23 × 317 = 21,873
composite factor = 23 × 32 × 317 = 22,824
composite factor = 2 × 23 × 509 = 23,414
composite factor = 2 × 3 × 13 × 317 = 24,726
composite factor = 22 × 13 × 509 = 26,468
composite factor = 22 × 23 × 317 = 29,164
composite factor = 23 × 13 × 317 = 32,968
composite factor = 3 × 23 × 509 = 35,121
composite factor = 23 × 32 × 509 = 36,648
composite factor = 32 × 13 × 317 = 37,089
composite factor = 2 × 3 × 13 × 509 = 39,702
composite factor = 2 × 3 × 23 × 317 = 43,746
composite factor = 22 × 23 × 509 = 46,828
composite factor = 22 × 3 × 13 × 317 = 49,452
composite factor = 23 × 13 × 509 = 52,936
composite factor = 23 × 23 × 317 = 58,328
This list continues below...

... This list continues from above
composite factor = 32 × 13 × 509 = 59,553
composite factor = 32 × 23 × 317 = 65,619
composite factor = 2 × 3 × 23 × 509 = 70,242
composite factor = 2 × 32 × 13 × 317 = 74,178
composite factor = 22 × 3 × 13 × 509 = 79,404
composite factor = 22 × 3 × 23 × 317 = 87,492
composite factor = 23 × 23 × 509 = 93,656
composite factor = 13 × 23 × 317 = 94,783
composite factor = 23 × 3 × 13 × 317 = 98,904
composite factor = 32 × 23 × 509 = 105,363
composite factor = 2 × 32 × 13 × 509 = 119,106
composite factor = 2 × 32 × 23 × 317 = 131,238
composite factor = 22 × 3 × 23 × 509 = 140,484
composite factor = 22 × 32 × 13 × 317 = 148,356
composite factor = 13 × 23 × 509 = 152,191
composite factor = 23 × 3 × 13 × 509 = 158,808
composite factor = 317 × 509 = 161,353
composite factor = 23 × 3 × 23 × 317 = 174,984
composite factor = 2 × 13 × 23 × 317 = 189,566
composite factor = 2 × 32 × 23 × 509 = 210,726
composite factor = 22 × 32 × 13 × 509 = 238,212
composite factor = 22 × 32 × 23 × 317 = 262,476
composite factor = 23 × 3 × 23 × 509 = 280,968
composite factor = 3 × 13 × 23 × 317 = 284,349
composite factor = 23 × 32 × 13 × 317 = 296,712
composite factor = 2 × 13 × 23 × 509 = 304,382
composite factor = 2 × 317 × 509 = 322,706
composite factor = 22 × 13 × 23 × 317 = 379,132
composite factor = 22 × 32 × 23 × 509 = 421,452
composite factor = 3 × 13 × 23 × 509 = 456,573
composite factor = 23 × 32 × 13 × 509 = 476,424
composite factor = 3 × 317 × 509 = 484,059
composite factor = 23 × 32 × 23 × 317 = 524,952
composite factor = 2 × 3 × 13 × 23 × 317 = 568,698
composite factor = 22 × 13 × 23 × 509 = 608,764
composite factor = 22 × 317 × 509 = 645,412
composite factor = 23 × 13 × 23 × 317 = 758,264
composite factor = 23 × 32 × 23 × 509 = 842,904
composite factor = 32 × 13 × 23 × 317 = 853,047
composite factor = 2 × 3 × 13 × 23 × 509 = 913,146
composite factor = 2 × 3 × 317 × 509 = 968,118
composite factor = 22 × 3 × 13 × 23 × 317 = 1,137,396
composite factor = 23 × 13 × 23 × 509 = 1,217,528
composite factor = 23 × 317 × 509 = 1,290,824
composite factor = 32 × 13 × 23 × 509 = 1,369,719
composite factor = 32 × 317 × 509 = 1,452,177
composite factor = 2 × 32 × 13 × 23 × 317 = 1,706,094
composite factor = 22 × 3 × 13 × 23 × 509 = 1,826,292
composite factor = 22 × 3 × 317 × 509 = 1,936,236
composite factor = 13 × 317 × 509 = 2,097,589
composite factor = 23 × 3 × 13 × 23 × 317 = 2,274,792
composite factor = 2 × 32 × 13 × 23 × 509 = 2,739,438
composite factor = 2 × 32 × 317 × 509 = 2,904,354
composite factor = 22 × 32 × 13 × 23 × 317 = 3,412,188
composite factor = 23 × 3 × 13 × 23 × 509 = 3,652,584
composite factor = 23 × 317 × 509 = 3,711,119
composite factor = 23 × 3 × 317 × 509 = 3,872,472
composite factor = 2 × 13 × 317 × 509 = 4,195,178
composite factor = 22 × 32 × 13 × 23 × 509 = 5,478,876
composite factor = 22 × 32 × 317 × 509 = 5,808,708
composite factor = 3 × 13 × 317 × 509 = 6,292,767
composite factor = 23 × 32 × 13 × 23 × 317 = 6,824,376
composite factor = 2 × 23 × 317 × 509 = 7,422,238
composite factor = 22 × 13 × 317 × 509 = 8,390,356
composite factor = 23 × 32 × 13 × 23 × 509 = 10,957,752
composite factor = 3 × 23 × 317 × 509 = 11,133,357
composite factor = 23 × 32 × 317 × 509 = 11,617,416
composite factor = 2 × 3 × 13 × 317 × 509 = 12,585,534
composite factor = 22 × 23 × 317 × 509 = 14,844,476
composite factor = 23 × 13 × 317 × 509 = 16,780,712
composite factor = 32 × 13 × 317 × 509 = 18,878,301
composite factor = 2 × 3 × 23 × 317 × 509 = 22,266,714
composite factor = 22 × 3 × 13 × 317 × 509 = 25,171,068
composite factor = 23 × 23 × 317 × 509 = 29,688,952
composite factor = 32 × 23 × 317 × 509 = 33,400,071
composite factor = 2 × 32 × 13 × 317 × 509 = 37,756,602
composite factor = 22 × 3 × 23 × 317 × 509 = 44,533,428
composite factor = 13 × 23 × 317 × 509 = 48,244,547
composite factor = 23 × 3 × 13 × 317 × 509 = 50,342,136
composite factor = 2 × 32 × 23 × 317 × 509 = 66,800,142
composite factor = 22 × 32 × 13 × 317 × 509 = 75,513,204
composite factor = 23 × 3 × 23 × 317 × 509 = 89,066,856
composite factor = 2 × 13 × 23 × 317 × 509 = 96,489,094
composite factor = 22 × 32 × 23 × 317 × 509 = 133,600,284
composite factor = 3 × 13 × 23 × 317 × 509 = 144,733,641
composite factor = 23 × 32 × 13 × 317 × 509 = 151,026,408
composite factor = 22 × 13 × 23 × 317 × 509 = 192,978,188
composite factor = 23 × 32 × 23 × 317 × 509 = 267,200,568
composite factor = 2 × 3 × 13 × 23 × 317 × 509 = 289,467,282
composite factor = 23 × 13 × 23 × 317 × 509 = 385,956,376
composite factor = 32 × 13 × 23 × 317 × 509 = 434,200,923
composite factor = 22 × 3 × 13 × 23 × 317 × 509 = 578,934,564
composite factor = 2 × 32 × 13 × 23 × 317 × 509 = 868,401,846
composite factor = 23 × 3 × 13 × 23 × 317 × 509 = 1,157,869,128
composite factor = 22 × 32 × 13 × 23 × 317 × 509 = 1,736,803,692
composite factor = 23 × 32 × 13 × 23 × 317 × 509 = 3,473,607,384
192 factors (divisors)

What times what is 3,473,607,384?
What number multiplied by what number equals 3,473,607,384?

All the combinations of any two natural numbers whose product equals 3,473,607,384.

1 × 3,473,607,384 = 3,473,607,384
2 × 1,736,803,692 = 3,473,607,384
3 × 1,157,869,128 = 3,473,607,384
4 × 868,401,846 = 3,473,607,384
6 × 578,934,564 = 3,473,607,384
8 × 434,200,923 = 3,473,607,384
9 × 385,956,376 = 3,473,607,384
12 × 289,467,282 = 3,473,607,384
13 × 267,200,568 = 3,473,607,384
18 × 192,978,188 = 3,473,607,384
23 × 151,026,408 = 3,473,607,384
24 × 144,733,641 = 3,473,607,384
26 × 133,600,284 = 3,473,607,384
36 × 96,489,094 = 3,473,607,384
39 × 89,066,856 = 3,473,607,384
46 × 75,513,204 = 3,473,607,384
52 × 66,800,142 = 3,473,607,384
69 × 50,342,136 = 3,473,607,384
72 × 48,244,547 = 3,473,607,384
78 × 44,533,428 = 3,473,607,384
92 × 37,756,602 = 3,473,607,384
104 × 33,400,071 = 3,473,607,384
117 × 29,688,952 = 3,473,607,384
138 × 25,171,068 = 3,473,607,384
156 × 22,266,714 = 3,473,607,384
184 × 18,878,301 = 3,473,607,384
207 × 16,780,712 = 3,473,607,384
234 × 14,844,476 = 3,473,607,384
276 × 12,585,534 = 3,473,607,384
299 × 11,617,416 = 3,473,607,384
312 × 11,133,357 = 3,473,607,384
317 × 10,957,752 = 3,473,607,384
414 × 8,390,356 = 3,473,607,384
468 × 7,422,238 = 3,473,607,384
509 × 6,824,376 = 3,473,607,384
552 × 6,292,767 = 3,473,607,384
598 × 5,808,708 = 3,473,607,384
634 × 5,478,876 = 3,473,607,384
828 × 4,195,178 = 3,473,607,384
897 × 3,872,472 = 3,473,607,384
936 × 3,711,119 = 3,473,607,384
951 × 3,652,584 = 3,473,607,384
1,018 × 3,412,188 = 3,473,607,384
1,196 × 2,904,354 = 3,473,607,384
1,268 × 2,739,438 = 3,473,607,384
1,527 × 2,274,792 = 3,473,607,384
1,656 × 2,097,589 = 3,473,607,384
1,794 × 1,936,236 = 3,473,607,384
1,902 × 1,826,292 = 3,473,607,384
2,036 × 1,706,094 = 3,473,607,384
2,392 × 1,452,177 = 3,473,607,384
2,536 × 1,369,719 = 3,473,607,384
2,691 × 1,290,824 = 3,473,607,384
2,853 × 1,217,528 = 3,473,607,384
3,054 × 1,137,396 = 3,473,607,384
3,588 × 968,118 = 3,473,607,384
3,804 × 913,146 = 3,473,607,384
4,072 × 853,047 = 3,473,607,384
4,121 × 842,904 = 3,473,607,384
4,581 × 758,264 = 3,473,607,384
5,382 × 645,412 = 3,473,607,384
5,706 × 608,764 = 3,473,607,384
6,108 × 568,698 = 3,473,607,384
6,617 × 524,952 = 3,473,607,384
7,176 × 484,059 = 3,473,607,384
7,291 × 476,424 = 3,473,607,384
7,608 × 456,573 = 3,473,607,384
8,242 × 421,452 = 3,473,607,384
9,162 × 379,132 = 3,473,607,384
10,764 × 322,706 = 3,473,607,384
11,412 × 304,382 = 3,473,607,384
11,707 × 296,712 = 3,473,607,384
12,216 × 284,349 = 3,473,607,384
12,363 × 280,968 = 3,473,607,384
13,234 × 262,476 = 3,473,607,384
14,582 × 238,212 = 3,473,607,384
16,484 × 210,726 = 3,473,607,384
18,324 × 189,566 = 3,473,607,384
19,851 × 174,984 = 3,473,607,384
21,528 × 161,353 = 3,473,607,384
21,873 × 158,808 = 3,473,607,384
22,824 × 152,191 = 3,473,607,384
23,414 × 148,356 = 3,473,607,384
24,726 × 140,484 = 3,473,607,384
26,468 × 131,238 = 3,473,607,384
29,164 × 119,106 = 3,473,607,384
32,968 × 105,363 = 3,473,607,384
35,121 × 98,904 = 3,473,607,384
36,648 × 94,783 = 3,473,607,384
37,089 × 93,656 = 3,473,607,384
39,702 × 87,492 = 3,473,607,384
43,746 × 79,404 = 3,473,607,384
46,828 × 74,178 = 3,473,607,384
49,452 × 70,242 = 3,473,607,384
52,936 × 65,619 = 3,473,607,384
58,328 × 59,553 = 3,473,607,384
96 unique multiplications

The final answer:
(scroll down)


3,473,607,384 has 192 factors (divisors):
1; 2; 3; 4; 6; 8; 9; 12; 13; 18; 23; 24; 26; 36; 39; 46; 52; 69; 72; 78; 92; 104; 117; 138; 156; 184; 207; 234; 276; 299; 312; 317; 414; 468; 509; 552; 598; 634; 828; 897; 936; 951; 1,018; 1,196; 1,268; 1,527; 1,656; 1,794; 1,902; 2,036; 2,392; 2,536; 2,691; 2,853; 3,054; 3,588; 3,804; 4,072; 4,121; 4,581; 5,382; 5,706; 6,108; 6,617; 7,176; 7,291; 7,608; 8,242; 9,162; 10,764; 11,412; 11,707; 12,216; 12,363; 13,234; 14,582; 16,484; 18,324; 19,851; 21,528; 21,873; 22,824; 23,414; 24,726; 26,468; 29,164; 32,968; 35,121; 36,648; 37,089; 39,702; 43,746; 46,828; 49,452; 52,936; 58,328; 59,553; 65,619; 70,242; 74,178; 79,404; 87,492; 93,656; 94,783; 98,904; 105,363; 119,106; 131,238; 140,484; 148,356; 152,191; 158,808; 161,353; 174,984; 189,566; 210,726; 238,212; 262,476; 280,968; 284,349; 296,712; 304,382; 322,706; 379,132; 421,452; 456,573; 476,424; 484,059; 524,952; 568,698; 608,764; 645,412; 758,264; 842,904; 853,047; 913,146; 968,118; 1,137,396; 1,217,528; 1,290,824; 1,369,719; 1,452,177; 1,706,094; 1,826,292; 1,936,236; 2,097,589; 2,274,792; 2,739,438; 2,904,354; 3,412,188; 3,652,584; 3,711,119; 3,872,472; 4,195,178; 5,478,876; 5,808,708; 6,292,767; 6,824,376; 7,422,238; 8,390,356; 10,957,752; 11,133,357; 11,617,416; 12,585,534; 14,844,476; 16,780,712; 18,878,301; 22,266,714; 25,171,068; 29,688,952; 33,400,071; 37,756,602; 44,533,428; 48,244,547; 50,342,136; 66,800,142; 75,513,204; 89,066,856; 96,489,094; 133,600,284; 144,733,641; 151,026,408; 192,978,188; 267,200,568; 289,467,282; 385,956,376; 434,200,923; 578,934,564; 868,401,846; 1,157,869,128; 1,736,803,692 and 3,473,607,384
out of which 6 prime factors: 2; 3; 13; 23; 317 and 509.
Numbers other than 1 that are not prime factors are composite factors (divisors).
3,473,607,384 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".