What is the Greatest Common Factor of 91917 and 91931?

Greatest common factor (GCF) of 91917 and 91931 is 7.

GCF(91917,91931) = 7

We will now calculate the prime factors of 91917 and 91931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91917 and 91931.

How to find the GCF of 91917 and 91931?

We will first find the prime factorization of 91917 and 91931. After we will calculate the factors of 91917 and 91931 and find the biggest common factor number .

Step-1: Prime Factorization of 91917

Prime factors of 91917 are 3, 7, 1459. Prime factorization of 91917 in exponential form is:

91917 = 3² × 7¹ × 1459¹

Step-2: Prime Factorization of 91931

Prime factors of 91931 are 7, 23, 571. Prime factorization of 91931 in exponential form is:

91931 = 7¹ × 23¹ × 571¹

Step-3: Factors of 91917

List of positive integer factors of 91917 that divides 91917 without a remainder.

1, 3, 7, 9, 21, 63, 1459, 4377, 10213, 13131, 30639

Step-4: Factors of 91931

List of positive integer factors of 91931 that divides 91917 without a remainder.

1, 7, 23, 161, 571, 3997, 13133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91917 and 91931. The biggest common factor number is the GCF number.
So the greatest common factor 91917 and 91931 is 7.

Also check out the Least Common Multiple of 91917 and 91931