What is the Greatest Common Factor of 56637 and 56655?

Greatest common factor (GCF) of 56637 and 56655 is 9.

GCF(56637,56655) = 9

We will now calculate the prime factors of 56637 and 56655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56637 and 56655.

How to find the GCF of 56637 and 56655?

We will first find the prime factorization of 56637 and 56655. After we will calculate the factors of 56637 and 56655 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 56655

Prime factors of 56655 are 3, 5, 1259. Prime factorization of 56655 in exponential form is:

56655 = 3² × 5¹ × 1259¹

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 56655

List of positive integer factors of 56655 that divides 56637 without a remainder.

1, 3, 5, 9, 15, 45, 1259, 3777, 6295, 11331, 18885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56637 and 56655. The biggest common factor number is the GCF number.
So the greatest common factor 56637 and 56655 is 9.

Also check out the Least Common Multiple of 56637 and 56655