What is the Greatest Common Factor of 92625 and 92640?

Greatest common factor (GCF) of 92625 and 92640 is 15.

GCF(92625,92640) = 15

We will now calculate the prime factors of 92625 and 92640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92625 and 92640.

How to find the GCF of 92625 and 92640?

We will first find the prime factorization of 92625 and 92640. After we will calculate the factors of 92625 and 92640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92640

Prime factors of 92640 are 2, 3, 5, 193. Prime factorization of 92640 in exponential form is:

92640 = 2⁵ × 3¹ × 5¹ × 193¹

Step-3: Factors of 92625

List of positive integer factors of 92625 that divides 92625 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

Step-4: Factors of 92640

List of positive integer factors of 92640 that divides 92625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 193, 240, 386, 480, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 6176, 7720, 9264, 11580, 15440, 18528, 23160, 30880, 46320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92625 and 92640. The biggest common factor number is the GCF number.
So the greatest common factor 92625 and 92640 is 15.

Also check out the Least Common Multiple of 92625 and 92640