What is the Greatest Common Factor of 957 and 968?

Greatest common factor (GCF) of 957 and 968 is 11.

GCF(957,968) = 11

We will now calculate the prime factors of 957 and 968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 957 and 968.

How to find the GCF of 957 and 968?

We will first find the prime factorization of 957 and 968. After we will calculate the factors of 957 and 968 and find the biggest common factor number .

Step-1: Prime Factorization of 957

Prime factors of 957 are 3, 11, 29. Prime factorization of 957 in exponential form is:

957 = 3¹ × 11¹ × 29¹

Step-2: Prime Factorization of 968

Prime factors of 968 are 2, 11. Prime factorization of 968 in exponential form is:

968 = 2³ × 11²

Step-3: Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319

Step-4: Factors of 968

List of positive integer factors of 968 that divides 957 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 957 and 968. The biggest common factor number is the GCF number.
So the greatest common factor 957 and 968 is 11.

Also check out the Least Common Multiple of 957 and 968