What is the Greatest Common Factor of 56959 and 56966?

Greatest common factor (GCF) of 56959 and 56966 is 7.

GCF(56959,56966) = 7

We will now calculate the prime factors of 56959 and 56966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56959 and 56966.

How to find the GCF of 56959 and 56966?

We will first find the prime factorization of 56959 and 56966. After we will calculate the factors of 56959 and 56966 and find the biggest common factor number .

Step-1: Prime Factorization of 56959

Prime factors of 56959 are 7, 79, 103. Prime factorization of 56959 in exponential form is:

56959 = 7¹ × 79¹ × 103¹

Step-2: 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-3: Factors of 56959

List of positive integer factors of 56959 that divides 56959 without a remainder.

1, 7, 79, 103, 553, 721, 8137

Step-4: Factors of 56966

List of positive integer factors of 56966 that divides 56959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56959 and 56966. The biggest common factor number is the GCF number.
So the greatest common factor 56959 and 56966 is 7.

Also check out the Least Common Multiple of 56959 and 56966