What is the Greatest Common Factor of 56625 and 56635?

Greatest common factor (GCF) of 56625 and 56635 is 5.

GCF(56625,56635) = 5

We will now calculate the prime factors of 56625 and 56635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56625 and 56635.

How to find the GCF of 56625 and 56635?

We will first find the prime factorization of 56625 and 56635. After we will calculate the factors of 56625 and 56635 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 56635

Prime factors of 56635 are 5, 47, 241. Prime factorization of 56635 in exponential form is:

56635 = 5¹ × 47¹ × 241¹

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 56635

List of positive integer factors of 56635 that divides 56625 without a remainder.

1, 5, 47, 235, 241, 1205, 11327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56625 and 56635. The biggest common factor number is the GCF number.
So the greatest common factor 56625 and 56635 is 5.

Also check out the Least Common Multiple of 56625 and 56635