What is the Greatest Common Factor of 79625 and 79630?

Greatest common factor (GCF) of 79625 and 79630 is 5.

GCF(79625,79630) = 5

We will now calculate the prime factors of 79625 and 79630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79625 and 79630.

How to find the GCF of 79625 and 79630?

We will first find the prime factorization of 79625 and 79630. After we will calculate the factors of 79625 and 79630 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 79630

Prime factors of 79630 are 2, 5, 7963. Prime factorization of 79630 in exponential form is:

79630 = 2¹ × 5¹ × 7963¹

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 79630

List of positive integer factors of 79630 that divides 79625 without a remainder.

1, 2, 5, 10, 7963, 15926, 39815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79625 and 79630. The biggest common factor number is the GCF number.
So the greatest common factor 79625 and 79630 is 5.

Also check out the Least Common Multiple of 79625 and 79630