What is the Greatest Common Factor of 56928 and 56940?

Greatest common factor (GCF) of 56928 and 56940 is 12.

GCF(56928,56940) = 12

We will now calculate the prime factors of 56928 and 56940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56928 and 56940.

How to find the GCF of 56928 and 56940?

We will first find the prime factorization of 56928 and 56940. After we will calculate the factors of 56928 and 56940 and find the biggest common factor number .

Step-1: Prime Factorization of 56928

Prime factors of 56928 are 2, 3, 593. Prime factorization of 56928 in exponential form is:

56928 = 2⁵ × 3¹ × 593¹

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 56928

List of positive integer factors of 56928 that divides 56928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232, 18976, 28464

Step-4: Factors of 56940

List of positive integer factors of 56940 that divides 56928 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 56928 and 56940. The biggest common factor number is the GCF number.
So the greatest common factor 56928 and 56940 is 12.

Also check out the Least Common Multiple of 56928 and 56940