What is the Greatest Common Factor of 79625 and 79638?

Greatest common factor (GCF) of 79625 and 79638 is 13.

GCF(79625,79638) = 13

We will now calculate the prime factors of 79625 and 79638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79625 and 79638.

How to find the GCF of 79625 and 79638?

We will first find the prime factorization of 79625 and 79638. After we will calculate the factors of 79625 and 79638 and find the biggest common factor number .

Step-1: Prime Factorization of 79625

Prime factors of 79625 are 5, 7, 13. Prime factorization of 79625 in exponential form is:

79625 = 5³ × 7² × 13¹

Step-2: Prime Factorization of 79638

Prime factors of 79638 are 2, 3, 13, 1021. Prime factorization of 79638 in exponential form is:

79638 = 2¹ × 3¹ × 13¹ × 1021¹

Step-3: Factors of 79625

List of positive integer factors of 79625 that divides 79625 without a remainder.

1, 5, 7, 13, 25, 35, 49, 65, 91, 125, 175, 245, 325, 455, 637, 875, 1225, 1625, 2275, 3185, 6125, 11375, 15925

Step-4: Factors of 79638

List of positive integer factors of 79638 that divides 79625 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1021, 2042, 3063, 6126, 13273, 26546, 39819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79625 and 79638. The biggest common factor number is the GCF number.
So the greatest common factor 79625 and 79638 is 13.

Also check out the Least Common Multiple of 79625 and 79638