What is the Greatest Common Factor of 946 and 964?

Greatest common factor (GCF) of 946 and 964 is 2.

GCF(946,964) = 2

We will now calculate the prime factors of 946 and 964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 946 and 964.

How to find the GCF of 946 and 964?

We will first find the prime factorization of 946 and 964. After we will calculate the factors of 946 and 964 and find the biggest common factor number .

Step-1: Prime Factorization of 946

Prime factors of 946 are 2, 11, 43. Prime factorization of 946 in exponential form is:

946 = 2¹ × 11¹ × 43¹

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 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473

Step-4: Factors of 964

List of positive integer factors of 964 that divides 946 without a remainder.

1, 2, 4, 241, 482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 946 and 964. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 964 is 2.

Also check out the Least Common Multiple of 946 and 964