What is the Greatest Common Factor of 92612 and 92625?

Greatest common factor (GCF) of 92612 and 92625 is 13.

GCF(92612,92625) = 13

We will now calculate the prime factors of 92612 and 92625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92612 and 92625.

How to find the GCF of 92612 and 92625?

We will first find the prime factorization of 92612 and 92625. After we will calculate the factors of 92612 and 92625 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92625

Prime factors of 92625 are 3, 5, 13, 19. Prime factorization of 92625 in exponential form is:

92625 = 3¹ × 5³ × 13¹ × 19¹

Step-3: Factors of 92612

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

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

Step-4: Factors of 92625

List of positive integer factors of 92625 that divides 92612 without a remainder.

1, 3, 5, 13, 15, 19, 25, 39, 57, 65, 75, 95, 125, 195, 247, 285, 325, 375, 475, 741, 975, 1235, 1425, 1625, 2375, 3705, 4875, 6175, 7125, 18525, 30875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92612 and 92625. The biggest common factor number is the GCF number.
So the greatest common factor 92612 and 92625 is 13.

Also check out the Least Common Multiple of 92612 and 92625