What is the Greatest Common Factor of 56637 and 56651?

Greatest common factor (GCF) of 56637 and 56651 is 7.

GCF(56637,56651) = 7

We will now calculate the prime factors of 56637 and 56651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56637 and 56651.

How to find the GCF of 56637 and 56651?

We will first find the prime factorization of 56637 and 56651. After we will calculate the factors of 56637 and 56651 and find the biggest common factor number .

Step-1: Prime Factorization of 56637

Prime factors of 56637 are 3, 7, 29, 31. Prime factorization of 56637 in exponential form is:

56637 = 3² × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 56651

Prime factors of 56651 are 7, 8093. Prime factorization of 56651 in exponential form is:

56651 = 7¹ × 8093¹

Step-3: Factors of 56637

List of positive integer factors of 56637 that divides 56637 without a remainder.

1, 3, 7, 9, 21, 29, 31, 63, 87, 93, 203, 217, 261, 279, 609, 651, 899, 1827, 1953, 2697, 6293, 8091, 18879

Step-4: Factors of 56651

List of positive integer factors of 56651 that divides 56637 without a remainder.

1, 7, 8093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56637 and 56651. The biggest common factor number is the GCF number.
So the greatest common factor 56637 and 56651 is 7.

Also check out the Least Common Multiple of 56637 and 56651