What is the Greatest Common Factor of 56640 and 56656?

Greatest common factor (GCF) of 56640 and 56656 is 16.

GCF(56640,56656) = 16

We will now calculate the prime factors of 56640 and 56656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56640 and 56656.

How to find the GCF of 56640 and 56656?

We will first find the prime factorization of 56640 and 56656. After we will calculate the factors of 56640 and 56656 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56656

Prime factors of 56656 are 2, 3541. Prime factorization of 56656 in exponential form is:

56656 = 2⁴ × 3541¹

Step-3: Factors of 56640

List of positive integer factors of 56640 that divides 56640 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

Step-4: Factors of 56656

List of positive integer factors of 56656 that divides 56640 without a remainder.

1, 2, 4, 8, 16, 3541, 7082, 14164, 28328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56640 and 56656. The biggest common factor number is the GCF number.
So the greatest common factor 56640 and 56656 is 16.

Also check out the Least Common Multiple of 56640 and 56656