What is the Greatest Common Factor of 56966 and 56970?

Greatest common factor (GCF) of 56966 and 56970 is 2.

GCF(56966,56970) = 2

We will now calculate the prime factors of 56966 and 56970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56966 and 56970.

How to find the GCF of 56966 and 56970?

We will first find the prime factorization of 56966 and 56970. After we will calculate the factors of 56966 and 56970 and find the biggest common factor number .

Step-1: Prime Factorization of 56966

Prime factors of 56966 are 2, 7, 13, 313. Prime factorization of 56966 in exponential form is:

56966 = 2¹ × 7¹ × 13¹ × 313¹

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 56966

List of positive integer factors of 56966 that divides 56966 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 313, 626, 2191, 4069, 4382, 8138, 28483

Step-4: Factors of 56970

List of positive integer factors of 56970 that divides 56966 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 56966 and 56970. The biggest common factor number is the GCF number.
So the greatest common factor 56966 and 56970 is 2.

Also check out the Least Common Multiple of 56966 and 56970