What is the Greatest Common Factor of 56925 and 56940?

Greatest common factor (GCF) of 56925 and 56940 is 15.

GCF(56925,56940) = 15

We will now calculate the prime factors of 56925 and 56940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56925 and 56940.

How to find the GCF of 56925 and 56940?

We will first find the prime factorization of 56925 and 56940. After we will calculate the factors of 56925 and 56940 and find the biggest common factor number .

Step-1: Prime Factorization of 56925

Prime factors of 56925 are 3, 5, 11, 23. Prime factorization of 56925 in exponential form is:

56925 = 3² × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 56940

Prime factors of 56940 are 2, 3, 5, 13, 73. Prime factorization of 56940 in exponential form is:

56940 = 2² × 3¹ × 5¹ × 13¹ × 73¹

Step-3: Factors of 56925

List of positive integer factors of 56925 that divides 56925 without a remainder.

1, 3, 5, 9, 11, 15, 23, 25, 33, 45, 55, 69, 75, 99, 115, 165, 207, 225, 253, 275, 345, 495, 575, 759, 825, 1035, 1265, 1725, 2277, 2475, 3795, 5175, 6325, 11385, 18975

Step-4: Factors of 56940

List of positive integer factors of 56940 that divides 56925 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 73, 78, 130, 146, 156, 195, 219, 260, 292, 365, 390, 438, 730, 780, 876, 949, 1095, 1460, 1898, 2190, 2847, 3796, 4380, 4745, 5694, 9490, 11388, 14235, 18980, 28470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56925 and 56940. The biggest common factor number is the GCF number.
So the greatest common factor 56925 and 56940 is 15.

Also check out the Least Common Multiple of 56925 and 56940