What is the Greatest Common Factor of 56953 and 56966?

Greatest common factor (GCF) of 56953 and 56966 is 13.

GCF(56953,56966) = 13

We will now calculate the prime factors of 56953 and 56966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56953 and 56966.

How to find the GCF of 56953 and 56966?

We will first find the prime factorization of 56953 and 56966. After we will calculate the factors of 56953 and 56966 and find the biggest common factor number .

Step-1: Prime Factorization of 56953

Prime factors of 56953 are 13, 337. Prime factorization of 56953 in exponential form is:

56953 = 13² × 337¹

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 56953

List of positive integer factors of 56953 that divides 56953 without a remainder.

1, 13, 169, 337, 4381

Step-4: Factors of 56966

List of positive integer factors of 56966 that divides 56953 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 56953 and 56966. The biggest common factor number is the GCF number.
So the greatest common factor 56953 and 56966 is 13.

Also check out the Least Common Multiple of 56953 and 56966