What is the Greatest Common Factor of 946 and 966?

Greatest common factor (GCF) of 946 and 966 is 2.

GCF(946,966) = 2

We will now calculate the prime factors of 946 and 966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 946 and 966.

How to find the GCF of 946 and 966?

We will first find the prime factorization of 946 and 966. After we will calculate the factors of 946 and 966 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 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 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 966

List of positive integer factors of 966 that divides 946 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 946 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 966 is 2.

Also check out the Least Common Multiple of 946 and 966