What is the Greatest Common Factor of 56940 and 56960?

Greatest common factor (GCF) of 56940 and 56960 is 20.

GCF(56940,56960) = 20

We will now calculate the prime factors of 56940 and 56960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56940 and 56960.

How to find the GCF of 56940 and 56960?

We will first find the prime factorization of 56940 and 56960. After we will calculate the factors of 56940 and 56960 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 56960

Prime factors of 56960 are 2, 5, 89. Prime factorization of 56960 in exponential form is:

56960 = 2⁷ × 5¹ × 89¹

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 56960

List of positive integer factors of 56960 that divides 56940 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 128, 160, 178, 320, 356, 445, 640, 712, 890, 1424, 1780, 2848, 3560, 5696, 7120, 11392, 14240, 28480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56940 and 56960. The biggest common factor number is the GCF number.
So the greatest common factor 56940 and 56960 is 20.

Also check out the Least Common Multiple of 56940 and 56960