What is the Greatest Common Factor of 79625 and 79633?

Greatest common factor (GCF) of 79625 and 79633 is 1.

GCF(79625,79633) = 1

We will now calculate the prime factors of 79625 and 79633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79625 and 79633.

How to find the GCF of 79625 and 79633?

We will first find the prime factorization of 79625 and 79633. After we will calculate the factors of 79625 and 79633 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 79633

Prime factors of 79633 are 79633. Prime factorization of 79633 in exponential form is:

79633 = 79633¹

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 79633

List of positive integer factors of 79633 that divides 79625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79625 and 79633. The biggest common factor number is the GCF number.
So the greatest common factor 79625 and 79633 is 1.

Also check out the Least Common Multiple of 79625 and 79633