What is the Greatest Common Factor of 960 and 968?

Greatest common factor (GCF) of 960 and 968 is 8.

GCF(960,968) = 8

We will now calculate the prime factors of 960 and 968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 960 and 968.

How to find the GCF of 960 and 968?

We will first find the prime factorization of 960 and 968. After we will calculate the factors of 960 and 968 and find the biggest common factor number .

Step-1: Prime Factorization of 960

Prime factors of 960 are 2, 3, 5. Prime factorization of 960 in exponential form is:

960 = 2⁶ × 3¹ × 5¹

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 960

List of positive integer factors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480

Step-4: Factors of 968

List of positive integer factors of 968 that divides 960 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 960 and 968. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 968 is 8.

Also check out the Least Common Multiple of 960 and 968