What is the Greatest Common Factor of 960 and 964?

Greatest common factor (GCF) of 960 and 964 is 4.

GCF(960,964) = 4

We will now calculate the prime factors of 960 and 964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 960 and 964.

How to find the GCF of 960 and 964?

We will first find the prime factorization of 960 and 964. After we will calculate the factors of 960 and 964 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 964

Prime factors of 964 are 2, 241. Prime factorization of 964 in exponential form is:

964 = 2² × 241¹

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 964

List of positive integer factors of 964 that divides 960 without a remainder.

1, 2, 4, 241, 482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 960 and 964. The biggest common factor number is the GCF number.
So the greatest common factor 960 and 964 is 4.

Also check out the Least Common Multiple of 960 and 964