What is the Greatest Common Factor of 79359 and 79371?

Greatest common factor (GCF) of 79359 and 79371 is 3.

GCF(79359,79371) = 3

We will now calculate the prime factors of 79359 and 79371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79359 and 79371.

How to find the GCF of 79359 and 79371?

We will first find the prime factorization of 79359 and 79371. After we will calculate the factors of 79359 and 79371 and find the biggest common factor number .

Step-1: Prime Factorization of 79359

Prime factors of 79359 are 3, 7, 3779. Prime factorization of 79359 in exponential form is:

79359 = 3¹ × 7¹ × 3779¹

Step-2: Prime Factorization of 79371

Prime factors of 79371 are 3, 8819. Prime factorization of 79371 in exponential form is:

79371 = 3² × 8819¹

Step-3: Factors of 79359

List of positive integer factors of 79359 that divides 79359 without a remainder.

1, 3, 7, 21, 3779, 11337, 26453

Step-4: Factors of 79371

List of positive integer factors of 79371 that divides 79359 without a remainder.

1, 3, 9, 8819, 26457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79359 and 79371. The biggest common factor number is the GCF number.
So the greatest common factor 79359 and 79371 is 3.

Also check out the Least Common Multiple of 79359 and 79371