What is the Greatest Common Factor of 92599 and 92612?

Greatest common factor (GCF) of 92599 and 92612 is 13.

GCF(92599,92612) = 13

We will now calculate the prime factors of 92599 and 92612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92599 and 92612.

How to find the GCF of 92599 and 92612?

We will first find the prime factorization of 92599 and 92612. After we will calculate the factors of 92599 and 92612 and find the biggest common factor number .

Step-1: Prime Factorization of 92599

Prime factors of 92599 are 13, 17, 419. Prime factorization of 92599 in exponential form is:

92599 = 13¹ × 17¹ × 419¹

Step-2: Prime Factorization of 92612

Prime factors of 92612 are 2, 13, 137. Prime factorization of 92612 in exponential form is:

92612 = 2² × 13² × 137¹

Step-3: Factors of 92599

List of positive integer factors of 92599 that divides 92599 without a remainder.

1, 13, 17, 221, 419, 5447, 7123

Step-4: Factors of 92612

List of positive integer factors of 92612 that divides 92599 without a remainder.

1, 2, 4, 13, 26, 52, 137, 169, 274, 338, 548, 676, 1781, 3562, 7124, 23153, 46306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92599 and 92612. The biggest common factor number is the GCF number.
So the greatest common factor 92599 and 92612 is 13.

Also check out the Least Common Multiple of 92599 and 92612