What is the Greatest Common Factor of 56960 and 56970?

Greatest common factor (GCF) of 56960 and 56970 is 10.

GCF(56960,56970) = 10

We will now calculate the prime factors of 56960 and 56970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56960 and 56970.

How to find the GCF of 56960 and 56970?

We will first find the prime factorization of 56960 and 56970. After we will calculate the factors of 56960 and 56970 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 56970

Prime factors of 56970 are 2, 3, 5, 211. Prime factorization of 56970 in exponential form is:

56970 = 2¹ × 3³ × 5¹ × 211¹

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 56970

List of positive integer factors of 56970 that divides 56960 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 211, 270, 422, 633, 1055, 1266, 1899, 2110, 3165, 3798, 5697, 6330, 9495, 11394, 18990, 28485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56960 and 56970. The biggest common factor number is the GCF number.
So the greatest common factor 56960 and 56970 is 10.

Also check out the Least Common Multiple of 56960 and 56970