What is the Greatest Common Factor of 79599 and 79612?

Greatest common factor (GCF) of 79599 and 79612 is 13.

GCF(79599,79612) = 13

We will now calculate the prime factors of 79599 and 79612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79599 and 79612.

How to find the GCF of 79599 and 79612?

We will first find the prime factorization of 79599 and 79612. After we will calculate the factors of 79599 and 79612 and find the biggest common factor number .

Step-1: Prime Factorization of 79599

Prime factors of 79599 are 3, 13, 157. Prime factorization of 79599 in exponential form is:

79599 = 3¹ × 13² × 157¹

Step-2: Prime Factorization of 79612

Prime factors of 79612 are 2, 13, 1531. Prime factorization of 79612 in exponential form is:

79612 = 2² × 13¹ × 1531¹

Step-3: Factors of 79599

List of positive integer factors of 79599 that divides 79599 without a remainder.

1, 3, 13, 39, 157, 169, 471, 507, 2041, 6123, 26533

Step-4: Factors of 79612

List of positive integer factors of 79612 that divides 79599 without a remainder.

1, 2, 4, 13, 26, 52, 1531, 3062, 6124, 19903, 39806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79599 and 79612. The biggest common factor number is the GCF number.
So the greatest common factor 79599 and 79612 is 13.

Also check out the Least Common Multiple of 79599 and 79612