What is the Greatest Common Factor of 56616 and 56625?

Greatest common factor (GCF) of 56616 and 56625 is 3.

GCF(56616,56625) = 3

We will now calculate the prime factors of 56616 and 56625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56616 and 56625.

How to find the GCF of 56616 and 56625?

We will first find the prime factorization of 56616 and 56625. After we will calculate the factors of 56616 and 56625 and find the biggest common factor number .

Step-1: Prime Factorization of 56616

Prime factors of 56616 are 2, 3, 7, 337. Prime factorization of 56616 in exponential form is:

56616 = 2³ × 3¹ × 7¹ × 337¹

Step-2: 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-3: Factors of 56616

List of positive integer factors of 56616 that divides 56616 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 337, 674, 1011, 1348, 2022, 2359, 2696, 4044, 4718, 7077, 8088, 9436, 14154, 18872, 28308

Step-4: Factors of 56625

List of positive integer factors of 56625 that divides 56616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56616 and 56625. The biggest common factor number is the GCF number.
So the greatest common factor 56616 and 56625 is 3.

Also check out the Least Common Multiple of 56616 and 56625