What is the Greatest Common Factor of 56625 and 56637?

Greatest common factor (GCF) of 56625 and 56637 is 3.

GCF(56625,56637) = 3

We will now calculate the prime factors of 56625 and 56637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56625 and 56637.

How to find the GCF of 56625 and 56637?

We will first find the prime factorization of 56625 and 56637. After we will calculate the factors of 56625 and 56637 and find the biggest common factor number .

Step-1: Prime Factorization of 56625

Prime factors of 56625 are 3, 5, 151. Prime factorization of 56625 in exponential form is:

56625 = 3¹ × 5³ × 151¹

Step-2: 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-3: Factors of 56625

List of positive integer factors of 56625 that divides 56625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 151, 375, 453, 755, 2265, 3775, 11325, 18875

Step-4: Factors of 56637

List of positive integer factors of 56637 that divides 56625 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56625 and 56637. The biggest common factor number is the GCF number.
So the greatest common factor 56625 and 56637 is 3.

Also check out the Least Common Multiple of 56625 and 56637