What is the Greatest Common Factor of 56625 and 56640?

Greatest common factor (GCF) of 56625 and 56640 is 15.

GCF(56625,56640) = 15

We will now calculate the prime factors of 56625 and 56640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56625 and 56640.

How to find the GCF of 56625 and 56640?

We will first find the prime factorization of 56625 and 56640. After we will calculate the factors of 56625 and 56640 and find the biggest common factor number .

Step-1: Prime Factorization of 56625

Prime factors of 56625 are 3, 5, 151. Prime factorization of 56625 in exponential form is:

56625 = 3¹ × 5³ × 151¹

Step-2: Prime Factorization of 56640

Prime factors of 56640 are 2, 3, 5, 59. Prime factorization of 56640 in exponential form is:

56640 = 2⁶ × 3¹ × 5¹ × 59¹

Step-3: Factors of 56625

List of positive integer factors of 56625 that divides 56625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 151, 375, 453, 755, 2265, 3775, 11325, 18875

Step-4: Factors of 56640

List of positive integer factors of 56640 that divides 56625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 59, 60, 64, 80, 96, 118, 120, 160, 177, 192, 236, 240, 295, 320, 354, 472, 480, 590, 708, 885, 944, 960, 1180, 1416, 1770, 1888, 2360, 2832, 3540, 3776, 4720, 5664, 7080, 9440, 11328, 14160, 18880, 28320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56625 and 56640. The biggest common factor number is the GCF number.
So the greatest common factor 56625 and 56640 is 15.

Also check out the Least Common Multiple of 56625 and 56640