What is the Greatest Common Factor of 954 and 960?

Greatest common factor (GCF) of 954 and 960 is 6.

GCF(954,960) = 6

We will now calculate the prime factors of 954 and 960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 954 and 960.

How to find the GCF of 954 and 960?

We will first find the prime factorization of 954 and 960. After we will calculate the factors of 954 and 960 and find the biggest common factor number .

Step-1: Prime Factorization of 954

Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:

954 = 2¹ × 3² × 53¹

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 954

List of positive integer factors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477

Step-4: Factors of 960

List of positive integer factors of 960 that divides 954 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 954 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 960 is 6.

Also check out the Least Common Multiple of 954 and 960