What is the Greatest Common Factor of 91364 and 91371?

Greatest common factor (GCF) of 91364 and 91371 is 7.

GCF(91364,91371) = 7

We will now calculate the prime factors of 91364 and 91371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91364 and 91371.

How to find the GCF of 91364 and 91371?

We will first find the prime factorization of 91364 and 91371. After we will calculate the factors of 91364 and 91371 and find the biggest common factor number .

Step-1: Prime Factorization of 91364

Prime factors of 91364 are 2, 7, 13, 251. Prime factorization of 91364 in exponential form is:

91364 = 2² × 7¹ × 13¹ × 251¹

Step-2: Prime Factorization of 91371

Prime factors of 91371 are 3, 7, 19, 229. Prime factorization of 91371 in exponential form is:

91371 = 3¹ × 7¹ × 19¹ × 229¹

Step-3: Factors of 91364

List of positive integer factors of 91364 that divides 91364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 251, 364, 502, 1004, 1757, 3263, 3514, 6526, 7028, 13052, 22841, 45682

Step-4: Factors of 91371

List of positive integer factors of 91371 that divides 91364 without a remainder.

1, 3, 7, 19, 21, 57, 133, 229, 399, 687, 1603, 4351, 4809, 13053, 30457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91364 and 91371. The biggest common factor number is the GCF number.
So the greatest common factor 91364 and 91371 is 7.

Also check out the Least Common Multiple of 91364 and 91371