What is the Greatest Common Factor of 56960 and 56976?

Greatest common factor (GCF) of 56960 and 56976 is 16.

GCF(56960,56976) = 16

We will now calculate the prime factors of 56960 and 56976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56960 and 56976.

How to find the GCF of 56960 and 56976?

We will first find the prime factorization of 56960 and 56976. After we will calculate the factors of 56960 and 56976 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56976

Prime factors of 56976 are 2, 3, 1187. Prime factorization of 56976 in exponential form is:

56976 = 2⁴ × 3¹ × 1187¹

Step-3: Factors of 56960

List of positive integer factors of 56960 that divides 56960 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

Step-4: Factors of 56976

List of positive integer factors of 56976 that divides 56960 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1187, 2374, 3561, 4748, 7122, 9496, 14244, 18992, 28488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56960 and 56976. The biggest common factor number is the GCF number.
So the greatest common factor 56960 and 56976 is 16.

Also check out the Least Common Multiple of 56960 and 56976