What is the Greatest Common Factor of 78988 and 79004?

Greatest common factor (GCF) of 78988 and 79004 is 4.

GCF(78988,79004) = 4

We will now calculate the prime factors of 78988 and 79004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78988 and 79004.

How to find the GCF of 78988 and 79004?

We will first find the prime factorization of 78988 and 79004. After we will calculate the factors of 78988 and 79004 and find the biggest common factor number .

Step-1: Prime Factorization of 78988

Prime factors of 78988 are 2, 7, 13, 31. Prime factorization of 78988 in exponential form is:

78988 = 2² × 7² × 13¹ × 31¹

Step-2: Prime Factorization of 79004

Prime factors of 79004 are 2, 19751. Prime factorization of 79004 in exponential form is:

79004 = 2² × 19751¹

Step-3: Factors of 78988

List of positive integer factors of 78988 that divides 78988 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 31, 49, 52, 62, 91, 98, 124, 182, 196, 217, 364, 403, 434, 637, 806, 868, 1274, 1519, 1612, 2548, 2821, 3038, 5642, 6076, 11284, 19747, 39494

Step-4: Factors of 79004

List of positive integer factors of 79004 that divides 78988 without a remainder.

1, 2, 4, 19751, 39502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78988 and 79004. The biggest common factor number is the GCF number.
So the greatest common factor 78988 and 79004 is 4.

Also check out the Least Common Multiple of 78988 and 79004