What is the Greatest Common Factor of 56644 and 56656?

Greatest common factor (GCF) of 56644 and 56656 is 4.

GCF(56644,56656) = 4

We will now calculate the prime factors of 56644 and 56656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56644 and 56656.

How to find the GCF of 56644 and 56656?

We will first find the prime factorization of 56644 and 56656. After we will calculate the factors of 56644 and 56656 and find the biggest common factor number .

Step-1: Prime Factorization of 56644

Prime factors of 56644 are 2, 7, 17. Prime factorization of 56644 in exponential form is:

56644 = 2² × 7² × 17²

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 56644

List of positive integer factors of 56644 that divides 56644 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 289, 476, 578, 833, 1156, 1666, 2023, 3332, 4046, 8092, 14161, 28322

Step-4: Factors of 56656

List of positive integer factors of 56656 that divides 56644 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 56644 and 56656. The biggest common factor number is the GCF number.
So the greatest common factor 56644 and 56656 is 4.

Also check out the Least Common Multiple of 56644 and 56656