What is the Greatest Common Factor of 954 and 966?

Greatest common factor (GCF) of 954 and 966 is 6.

GCF(954,966) = 6

We will now calculate the prime factors of 954 and 966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 954 and 966.

How to find the GCF of 954 and 966?

We will first find the prime factorization of 954 and 966. After we will calculate the factors of 954 and 966 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 966

Prime factors of 966 are 2, 3, 7, 23. Prime factorization of 966 in exponential form is:

966 = 2¹ × 3¹ × 7¹ × 23¹

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 966

List of positive integer factors of 966 that divides 954 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 954 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 966 is 6.

Also check out the Least Common Multiple of 954 and 966