What is the Greatest Common Factor of 91231 and 91238?

Greatest common factor (GCF) of 91231 and 91238 is 7.

GCF(91231,91238) = 7

We will now calculate the prime factors of 91231 and 91238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91231 and 91238.

How to find the GCF of 91231 and 91238?

We will first find the prime factorization of 91231 and 91238. After we will calculate the factors of 91231 and 91238 and find the biggest common factor number .

Step-1: Prime Factorization of 91231

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

91231 = 7¹ × 13033¹

Step-2: Prime Factorization of 91238

Prime factors of 91238 are 2, 7, 19. Prime factorization of 91238 in exponential form is:

91238 = 2¹ × 7⁴ × 19¹

Step-3: Factors of 91231

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

1, 7, 13033

Step-4: Factors of 91238

List of positive integer factors of 91238 that divides 91231 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 343, 686, 931, 1862, 2401, 4802, 6517, 13034, 45619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91231 and 91238. The biggest common factor number is the GCF number.
So the greatest common factor 91231 and 91238 is 7.

Also check out the Least Common Multiple of 91231 and 91238