What is the Greatest Common Factor of 56940 and 56952?

Greatest common factor (GCF) of 56940 and 56952 is 12.

GCF(56940,56952) = 12

We will now calculate the prime factors of 56940 and 56952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56940 and 56952.

How to find the GCF of 56940 and 56952?

We will first find the prime factorization of 56940 and 56952. After we will calculate the factors of 56940 and 56952 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 56952

Prime factors of 56952 are 2, 3, 7, 113. Prime factorization of 56952 in exponential form is:

56952 = 2³ × 3² × 7¹ × 113¹

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 56952

List of positive integer factors of 56952 that divides 56940 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 113, 126, 168, 226, 252, 339, 452, 504, 678, 791, 904, 1017, 1356, 1582, 2034, 2373, 2712, 3164, 4068, 4746, 6328, 7119, 8136, 9492, 14238, 18984, 28476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56940 and 56952. The biggest common factor number is the GCF number.
So the greatest common factor 56940 and 56952 is 12.

Also check out the Least Common Multiple of 56940 and 56952