What is the Greatest Common Factor of 56966 and 56982?

Greatest common factor (GCF) of 56966 and 56982 is 2.

GCF(56966,56982) = 2

We will now calculate the prime factors of 56966 and 56982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56966 and 56982.

How to find the GCF of 56966 and 56982?

We will first find the prime factorization of 56966 and 56982. After we will calculate the factors of 56966 and 56982 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 56982

Prime factors of 56982 are 2, 3, 9497. Prime factorization of 56982 in exponential form is:

56982 = 2¹ × 3¹ × 9497¹

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 56982

List of positive integer factors of 56982 that divides 56966 without a remainder.

1, 2, 3, 6, 9497, 18994, 28491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56966 and 56982. The biggest common factor number is the GCF number.
So the greatest common factor 56966 and 56982 is 2.

Also check out the Least Common Multiple of 56966 and 56982