What is the Greatest Common Factor of 947 and 966?

Greatest common factor (GCF) of 947 and 966 is 1.

GCF(947,966) = 1

We will now calculate the prime factors of 947 and 966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 947 and 966.

How to find the GCF of 947 and 966?

We will first find the prime factorization of 947 and 966. After we will calculate the factors of 947 and 966 and find the biggest common factor number .

Step-1: Prime Factorization of 947

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 947¹

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 947

List of positive integer factors of 947 that divides 947 without a remainder.

Step-4: Factors of 966

List of positive integer factors of 966 that divides 947 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 947 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 947 and 966 is 1.

Also check out the Least Common Multiple of 947 and 966