What is the Greatest Common Factor of 56627 and 56644?

Greatest common factor (GCF) of 56627 and 56644 is 17.

GCF(56627,56644) = 17

We will now calculate the prime factors of 56627 and 56644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56627 and 56644.

How to find the GCF of 56627 and 56644?

We will first find the prime factorization of 56627 and 56644. After we will calculate the factors of 56627 and 56644 and find the biggest common factor number .

Step-1: Prime Factorization of 56627

Prime factors of 56627 are 17, 3331. Prime factorization of 56627 in exponential form is:

56627 = 17¹ × 3331¹

Step-2: 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-3: Factors of 56627

List of positive integer factors of 56627 that divides 56627 without a remainder.

1, 17, 3331

Step-4: Factors of 56644

List of positive integer factors of 56644 that divides 56627 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56627 and 56644. The biggest common factor number is the GCF number.
So the greatest common factor 56627 and 56644 is 17.

Also check out the Least Common Multiple of 56627 and 56644