What is the Greatest Common Factor of 78988 and 79001?

Greatest common factor (GCF) of 78988 and 79001 is 13.

GCF(78988,79001) = 13

We will now calculate the prime factors of 78988 and 79001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78988 and 79001.

How to find the GCF of 78988 and 79001?

We will first find the prime factorization of 78988 and 79001. After we will calculate the factors of 78988 and 79001 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 79001

Prime factors of 79001 are 13, 59, 103. Prime factorization of 79001 in exponential form is:

79001 = 13¹ × 59¹ × 103¹

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 79001

List of positive integer factors of 79001 that divides 78988 without a remainder.

1, 13, 59, 103, 767, 1339, 6077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78988 and 79001. The biggest common factor number is the GCF number.
So the greatest common factor 78988 and 79001 is 13.

Also check out the Least Common Multiple of 78988 and 79001