Given the Numbers 1,017,753,984 and 2,374,759,296, Calculate (Find) All the Common Factors (All the Divisors) of the Two Numbers (and the Prime Factors)

The common factors (divisors) of the numbers 1,017,753,984 and 2,374,759,296

The common factors (divisors) of the numbers 1,017,753,984 and 2,374,759,296 are all the factors of their 'greatest (highest) common factor (divisor)', gcf.

Calculate the greatest (highest) common factor (divisor).
Follow the two steps below.

1. Carry out the prime factorization of the two numbers:

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

1,017,753,984 = 27 × 36 × 13 × 839
1,017,753,984 is not a prime number but a composite one.

2,374,759,296 = 27 × 35 × 7 × 13 × 839
2,374,759,296 is not a prime number but a composite one.


» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* Prime number: a natural number that is divisible only by 1 and itself. A prime number has exactly two factors: 1 and itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.



2. Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Multiply all the common prime factors, taken by their smallest exponents (the smallest powers).

gcf, hcf, gcd (1,017,753,984; 2,374,759,296) = 27 × 35 × 13 × 839 = 339,251,328

» Online calculator. Calculate the greatest (highest) common factor (divisor)



Multiply the prime factors of the 'gcf':

Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.

Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).

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):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
2 × 3 = 6
23 = 8
32 = 9
22 × 3 = 12
prime factor = 13
24 = 16
2 × 32 = 18
23 × 3 = 24
2 × 13 = 26
33 = 27
25 = 32
22 × 32 = 36
3 × 13 = 39
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
26 = 64
23 × 32 = 72
2 × 3 × 13 = 78
34 = 81
25 × 3 = 96
23 × 13 = 104
22 × 33 = 108
32 × 13 = 117
27 = 128
24 × 32 = 144
22 × 3 × 13 = 156
2 × 34 = 162
26 × 3 = 192
24 × 13 = 208
23 × 33 = 216
2 × 32 × 13 = 234
35 = 243
25 × 32 = 288
23 × 3 × 13 = 312
22 × 34 = 324
33 × 13 = 351
27 × 3 = 384
25 × 13 = 416
24 × 33 = 432
22 × 32 × 13 = 468
2 × 35 = 486
26 × 32 = 576
24 × 3 × 13 = 624
23 × 34 = 648
2 × 33 × 13 = 702
26 × 13 = 832
prime factor = 839
25 × 33 = 864
23 × 32 × 13 = 936
22 × 35 = 972
34 × 13 = 1,053
27 × 32 = 1,152
25 × 3 × 13 = 1,248
24 × 34 = 1,296
22 × 33 × 13 = 1,404
27 × 13 = 1,664
2 × 839 = 1,678
26 × 33 = 1,728
24 × 32 × 13 = 1,872
23 × 35 = 1,944
2 × 34 × 13 = 2,106
26 × 3 × 13 = 2,496
3 × 839 = 2,517
25 × 34 = 2,592
23 × 33 × 13 = 2,808
35 × 13 = 3,159
22 × 839 = 3,356
27 × 33 = 3,456
25 × 32 × 13 = 3,744
24 × 35 = 3,888
22 × 34 × 13 = 4,212
27 × 3 × 13 = 4,992
2 × 3 × 839 = 5,034
26 × 34 = 5,184
24 × 33 × 13 = 5,616
2 × 35 × 13 = 6,318
23 × 839 = 6,712
26 × 32 × 13 = 7,488
32 × 839 = 7,551
25 × 35 = 7,776
23 × 34 × 13 = 8,424
22 × 3 × 839 = 10,068
27 × 34 = 10,368
13 × 839 = 10,907
25 × 33 × 13 = 11,232
22 × 35 × 13 = 12,636
24 × 839 = 13,424
27 × 32 × 13 = 14,976
2 × 32 × 839 = 15,102
26 × 35 = 15,552
24 × 34 × 13 = 16,848
This list continues below...

... This list continues from above
23 × 3 × 839 = 20,136
2 × 13 × 839 = 21,814
26 × 33 × 13 = 22,464
33 × 839 = 22,653
23 × 35 × 13 = 25,272
25 × 839 = 26,848
22 × 32 × 839 = 30,204
27 × 35 = 31,104
3 × 13 × 839 = 32,721
25 × 34 × 13 = 33,696
24 × 3 × 839 = 40,272
22 × 13 × 839 = 43,628
27 × 33 × 13 = 44,928
2 × 33 × 839 = 45,306
24 × 35 × 13 = 50,544
26 × 839 = 53,696
23 × 32 × 839 = 60,408
2 × 3 × 13 × 839 = 65,442
26 × 34 × 13 = 67,392
34 × 839 = 67,959
25 × 3 × 839 = 80,544
23 × 13 × 839 = 87,256
22 × 33 × 839 = 90,612
32 × 13 × 839 = 98,163
25 × 35 × 13 = 101,088
27 × 839 = 107,392
24 × 32 × 839 = 120,816
22 × 3 × 13 × 839 = 130,884
27 × 34 × 13 = 134,784
2 × 34 × 839 = 135,918
26 × 3 × 839 = 161,088
24 × 13 × 839 = 174,512
23 × 33 × 839 = 181,224
2 × 32 × 13 × 839 = 196,326
26 × 35 × 13 = 202,176
35 × 839 = 203,877
25 × 32 × 839 = 241,632
23 × 3 × 13 × 839 = 261,768
22 × 34 × 839 = 271,836
33 × 13 × 839 = 294,489
27 × 3 × 839 = 322,176
25 × 13 × 839 = 349,024
24 × 33 × 839 = 362,448
22 × 32 × 13 × 839 = 392,652
27 × 35 × 13 = 404,352
2 × 35 × 839 = 407,754
26 × 32 × 839 = 483,264
24 × 3 × 13 × 839 = 523,536
23 × 34 × 839 = 543,672
2 × 33 × 13 × 839 = 588,978
26 × 13 × 839 = 698,048
25 × 33 × 839 = 724,896
23 × 32 × 13 × 839 = 785,304
22 × 35 × 839 = 815,508
34 × 13 × 839 = 883,467
27 × 32 × 839 = 966,528
25 × 3 × 13 × 839 = 1,047,072
24 × 34 × 839 = 1,087,344
22 × 33 × 13 × 839 = 1,177,956
27 × 13 × 839 = 1,396,096
26 × 33 × 839 = 1,449,792
24 × 32 × 13 × 839 = 1,570,608
23 × 35 × 839 = 1,631,016
2 × 34 × 13 × 839 = 1,766,934
26 × 3 × 13 × 839 = 2,094,144
25 × 34 × 839 = 2,174,688
23 × 33 × 13 × 839 = 2,355,912
35 × 13 × 839 = 2,650,401
27 × 33 × 839 = 2,899,584
25 × 32 × 13 × 839 = 3,141,216
24 × 35 × 839 = 3,262,032
22 × 34 × 13 × 839 = 3,533,868
27 × 3 × 13 × 839 = 4,188,288
26 × 34 × 839 = 4,349,376
24 × 33 × 13 × 839 = 4,711,824
2 × 35 × 13 × 839 = 5,300,802
26 × 32 × 13 × 839 = 6,282,432
25 × 35 × 839 = 6,524,064
23 × 34 × 13 × 839 = 7,067,736
27 × 34 × 839 = 8,698,752
25 × 33 × 13 × 839 = 9,423,648
22 × 35 × 13 × 839 = 10,601,604
27 × 32 × 13 × 839 = 12,564,864
26 × 35 × 839 = 13,048,128
24 × 34 × 13 × 839 = 14,135,472
26 × 33 × 13 × 839 = 18,847,296
23 × 35 × 13 × 839 = 21,203,208
27 × 35 × 839 = 26,096,256
25 × 34 × 13 × 839 = 28,270,944
27 × 33 × 13 × 839 = 37,694,592
24 × 35 × 13 × 839 = 42,406,416
26 × 34 × 13 × 839 = 56,541,888
25 × 35 × 13 × 839 = 84,812,832
27 × 34 × 13 × 839 = 113,083,776
26 × 35 × 13 × 839 = 169,625,664
27 × 35 × 13 × 839 = 339,251,328

1,017,753,984 and 2,374,759,296 have 192 common factors (divisors):
1; 2; 3; 4; 6; 8; 9; 12; 13; 16; 18; 24; 26; 27; 32; 36; 39; 48; 52; 54; 64; 72; 78; 81; 96; 104; 108; 117; 128; 144; 156; 162; 192; 208; 216; 234; 243; 288; 312; 324; 351; 384; 416; 432; 468; 486; 576; 624; 648; 702; 832; 839; 864; 936; 972; 1,053; 1,152; 1,248; 1,296; 1,404; 1,664; 1,678; 1,728; 1,872; 1,944; 2,106; 2,496; 2,517; 2,592; 2,808; 3,159; 3,356; 3,456; 3,744; 3,888; 4,212; 4,992; 5,034; 5,184; 5,616; 6,318; 6,712; 7,488; 7,551; 7,776; 8,424; 10,068; 10,368; 10,907; 11,232; 12,636; 13,424; 14,976; 15,102; 15,552; 16,848; 20,136; 21,814; 22,464; 22,653; 25,272; 26,848; 30,204; 31,104; 32,721; 33,696; 40,272; 43,628; 44,928; 45,306; 50,544; 53,696; 60,408; 65,442; 67,392; 67,959; 80,544; 87,256; 90,612; 98,163; 101,088; 107,392; 120,816; 130,884; 134,784; 135,918; 161,088; 174,512; 181,224; 196,326; 202,176; 203,877; 241,632; 261,768; 271,836; 294,489; 322,176; 349,024; 362,448; 392,652; 404,352; 407,754; 483,264; 523,536; 543,672; 588,978; 698,048; 724,896; 785,304; 815,508; 883,467; 966,528; 1,047,072; 1,087,344; 1,177,956; 1,396,096; 1,449,792; 1,570,608; 1,631,016; 1,766,934; 2,094,144; 2,174,688; 2,355,912; 2,650,401; 2,899,584; 3,141,216; 3,262,032; 3,533,868; 4,188,288; 4,349,376; 4,711,824; 5,300,802; 6,282,432; 6,524,064; 7,067,736; 8,698,752; 9,423,648; 10,601,604; 12,564,864; 13,048,128; 14,135,472; 18,847,296; 21,203,208; 26,096,256; 28,270,944; 37,694,592; 42,406,416; 56,541,888; 84,812,832; 113,083,776; 169,625,664 and 339,251,328
out of which 4 prime factors: 2; 3; 13 and 839

Other similar operations of calculating common factors:

» What are all the common factors (divisors and prime factors) of the numbers 1,017,753,969 and 2,374,759,286?

» What are all the common factors (divisors and prime factors) of the numbers 1,017,753,985 and 2,374,759,309?


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

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The list of all the calculated factors (divisors) of one or two numbers

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".