What is the Greatest Common Factor of 56637 and 56652?

Greatest common factor (GCF) of 56637 and 56652 is 3.

GCF(56637,56652) = 3

We will now calculate the prime factors of 56637 and 56652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56637 and 56652.

How to find the GCF of 56637 and 56652?

We will first find the prime factorization of 56637 and 56652. After we will calculate the factors of 56637 and 56652 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 56652

Prime factors of 56652 are 2, 3, 4721. Prime factorization of 56652 in exponential form is:

56652 = 2² × 3¹ × 4721¹

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 56652

List of positive integer factors of 56652 that divides 56637 without a remainder.

1, 2, 3, 4, 6, 12, 4721, 9442, 14163, 18884, 28326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56637 and 56652. The biggest common factor number is the GCF number.
So the greatest common factor 56637 and 56652 is 3.

Also check out the Least Common Multiple of 56637 and 56652