What is the Greatest Common Factor of 954 and 964?

Greatest common factor (GCF) of 954 and 964 is 2.

GCF(954,964) = 2

We will now calculate the prime factors of 954 and 964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 954 and 964.

How to find the GCF of 954 and 964?

We will first find the prime factorization of 954 and 964. After we will calculate the factors of 954 and 964 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 964

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

964 = 2² × 241¹

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 964

List of positive integer factors of 964 that divides 954 without a remainder.

1, 2, 4, 241, 482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 954 and 964. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 964 is 2.

Also check out the Least Common Multiple of 954 and 964