What is the Greatest Common Factor of 948 and 960?

Greatest common factor (GCF) of 948 and 960 is 12.

GCF(948,960) = 12

We will now calculate the prime factors of 948 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 948 and 960.

How to find the GCF of 948 and 960?

We will first find the prime factorization of 948 and 960. After we will calculate the factors of 948 and 960 and find the biggest common factor number .

Step-1: Prime Factorization of 948

Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:

948 = 2² × 3¹ × 79¹

Step-2: 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-3: Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474

Step-4: Factors of 960

List of positive integer factors of 960 that divides 948 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 948 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 960 is 12.

Also check out the Least Common Multiple of 948 and 960