What is the Greatest Common Factor of 56325 and 56337?

Greatest common factor (GCF) of 56325 and 56337 is 3.

GCF(56325,56337) = 3

We will now calculate the prime factors of 56325 and 56337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56325 and 56337.

How to find the GCF of 56325 and 56337?

We will first find the prime factorization of 56325 and 56337. After we will calculate the factors of 56325 and 56337 and find the biggest common factor number .

Step-1: Prime Factorization of 56325

Prime factors of 56325 are 3, 5, 751. Prime factorization of 56325 in exponential form is:

56325 = 3¹ × 5² × 751¹

Step-2: Prime Factorization of 56337

Prime factors of 56337 are 3, 89, 211. Prime factorization of 56337 in exponential form is:

56337 = 3¹ × 89¹ × 211¹

Step-3: Factors of 56325

List of positive integer factors of 56325 that divides 56325 without a remainder.

1, 3, 5, 15, 25, 75, 751, 2253, 3755, 11265, 18775

Step-4: Factors of 56337

List of positive integer factors of 56337 that divides 56325 without a remainder.

1, 3, 89, 211, 267, 633, 18779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56325 and 56337. The biggest common factor number is the GCF number.
So the greatest common factor 56325 and 56337 is 3.

Also check out the Least Common Multiple of 56325 and 56337