What is the Greatest Common Factor of 917 and 931?

Greatest common factor (GCF) of 917 and 931 is 7.

GCF(917,931) = 7

We will now calculate the prime factors of 917 and 931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 917 and 931.

How to find the GCF of 917 and 931?

We will first find the prime factorization of 917 and 931. After we will calculate the factors of 917 and 931 and find the biggest common factor number .

Step-1: Prime Factorization of 917

Prime factors of 917 are 7, 131. Prime factorization of 917 in exponential form is:

917 = 7¹ × 131¹

Step-2: Prime Factorization of 931

Prime factors of 931 are 7, 19. Prime factorization of 931 in exponential form is:

931 = 7² × 19¹

Step-3: Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1, 7, 131

Step-4: Factors of 931

List of positive integer factors of 931 that divides 917 without a remainder.

1, 7, 19, 49, 133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 917 and 931. The biggest common factor number is the GCF number.
So the greatest common factor 917 and 931 is 7.

Also check out the Least Common Multiple of 917 and 931