What is the Greatest Common Factor of 91217 and 91231?

Greatest common factor (GCF) of 91217 and 91231 is 7.

GCF(91217,91231) = 7

We will now calculate the prime factors of 91217 and 91231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91217 and 91231.

How to find the GCF of 91217 and 91231?

We will first find the prime factorization of 91217 and 91231. After we will calculate the factors of 91217 and 91231 and find the biggest common factor number .

Step-1: Prime Factorization of 91217

Prime factors of 91217 are 7, 83, 157. Prime factorization of 91217 in exponential form is:

91217 = 7¹ × 83¹ × 157¹

Step-2: Prime Factorization of 91231

Prime factors of 91231 are 7, 13033. Prime factorization of 91231 in exponential form is:

91231 = 7¹ × 13033¹

Step-3: Factors of 91217

List of positive integer factors of 91217 that divides 91217 without a remainder.

1, 7, 83, 157, 581, 1099, 13031

Step-4: Factors of 91231

List of positive integer factors of 91231 that divides 91217 without a remainder.

1, 7, 13033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91217 and 91231. The biggest common factor number is the GCF number.
So the greatest common factor 91217 and 91231 is 7.

Also check out the Least Common Multiple of 91217 and 91231