What is the Greatest Common Factor of 56960 and 56975?

Greatest common factor (GCF) of 56960 and 56975 is 5.

GCF(56960,56975) = 5

We will now calculate the prime factors of 56960 and 56975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56960 and 56975.

How to find the GCF of 56960 and 56975?

We will first find the prime factorization of 56960 and 56975. After we will calculate the factors of 56960 and 56975 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 56975

Prime factors of 56975 are 5, 43, 53. Prime factorization of 56975 in exponential form is:

56975 = 5² × 43¹ × 53¹

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 56975

List of positive integer factors of 56975 that divides 56960 without a remainder.

1, 5, 25, 43, 53, 215, 265, 1075, 1325, 2279, 11395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56960 and 56975. The biggest common factor number is the GCF number.
So the greatest common factor 56960 and 56975 is 5.

Also check out the Least Common Multiple of 56960 and 56975