What is the Greatest Common Factor of 56970 and 56988?

Greatest common factor (GCF) of 56970 and 56988 is 18.

GCF(56970,56988) = 18

We will now calculate the prime factors of 56970 and 56988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56970 and 56988.

How to find the GCF of 56970 and 56988?

We will first find the prime factorization of 56970 and 56988. After we will calculate the factors of 56970 and 56988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56988

Prime factors of 56988 are 2, 3, 1583. Prime factorization of 56988 in exponential form is:

56988 = 2² × 3² × 1583¹

Step-3: Factors of 56970

List of positive integer factors of 56970 that divides 56970 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

Step-4: Factors of 56988

List of positive integer factors of 56988 that divides 56970 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1583, 3166, 4749, 6332, 9498, 14247, 18996, 28494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56970 and 56988. The biggest common factor number is the GCF number.
So the greatest common factor 56970 and 56988 is 18.

Also check out the Least Common Multiple of 56970 and 56988