What is the Greatest Common Factor of 91221 and 91238?

Greatest common factor (GCF) of 91221 and 91238 is 1.

GCF(91221,91238) = 1

We will now calculate the prime factors of 91221 and 91238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91221 and 91238.

How to find the GCF of 91221 and 91238?

We will first find the prime factorization of 91221 and 91238. After we will calculate the factors of 91221 and 91238 and find the biggest common factor number .

Step-1: Prime Factorization of 91221

Prime factors of 91221 are 3, 13, 2339. Prime factorization of 91221 in exponential form is:

91221 = 3¹ × 13¹ × 2339¹

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 91221

List of positive integer factors of 91221 that divides 91221 without a remainder.

1, 3, 13, 39, 2339, 7017, 30407

Step-4: Factors of 91238

List of positive integer factors of 91238 that divides 91221 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 91221 and 91238. The biggest common factor number is the GCF number.
So the greatest common factor 91221 and 91238 is 1.

Also check out the Least Common Multiple of 91221 and 91238