What is the Greatest Common Factor of 56940 and 56957?

Greatest common factor (GCF) of 56940 and 56957 is 1.

GCF(56940,56957) = 1

We will now calculate the prime factors of 56940 and 56957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56940 and 56957.

How to find the GCF of 56940 and 56957?

We will first find the prime factorization of 56940 and 56957. After we will calculate the factors of 56940 and 56957 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56957

Prime factors of 56957 are 56957. Prime factorization of 56957 in exponential form is:

56957 = 56957¹

Step-3: Factors of 56940

List of positive integer factors of 56940 that divides 56940 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

Step-4: Factors of 56957

List of positive integer factors of 56957 that divides 56940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56940 and 56957. The biggest common factor number is the GCF number.
So the greatest common factor 56940 and 56957 is 1.

Also check out the Least Common Multiple of 56940 and 56957