What is the Greatest Common Factor of 78975 and 78988?

Greatest common factor (GCF) of 78975 and 78988 is 13.

GCF(78975,78988) = 13

We will now calculate the prime factors of 78975 and 78988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78975 and 78988.

How to find the GCF of 78975 and 78988?

We will first find the prime factorization of 78975 and 78988. After we will calculate the factors of 78975 and 78988 and find the biggest common factor number .

Step-1: Prime Factorization of 78975

Prime factors of 78975 are 3, 5, 13. Prime factorization of 78975 in exponential form is:

78975 = 3⁵ × 5² × 13¹

Step-2: 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-3: Factors of 78975

List of positive integer factors of 78975 that divides 78975 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 243, 325, 351, 405, 585, 675, 975, 1053, 1215, 1755, 2025, 2925, 3159, 5265, 6075, 8775, 15795, 26325

Step-4: Factors of 78988

List of positive integer factors of 78988 that divides 78975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78975 and 78988. The biggest common factor number is the GCF number.
So the greatest common factor 78975 and 78988 is 13.

Also check out the Least Common Multiple of 78975 and 78988