What is the Greatest Common Factor of 959 and 966?

Greatest common factor (GCF) of 959 and 966 is 7.

GCF(959,966) = 7

We will now calculate the prime factors of 959 and 966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 959 and 966.

How to find the GCF of 959 and 966?

We will first find the prime factorization of 959 and 966. After we will calculate the factors of 959 and 966 and find the biggest common factor number .

Step-1: Prime Factorization of 959

Prime factors of 959 are 7, 137. Prime factorization of 959 in exponential form is:

959 = 7¹ × 137¹

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 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137

Step-4: Factors of 966

List of positive integer factors of 966 that divides 959 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 959 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 959 and 966 is 7.

Also check out the Least Common Multiple of 959 and 966