What is the Greatest Common Factor of 79356 and 79371?

Greatest common factor (GCF) of 79356 and 79371 is 3.

GCF(79356,79371) = 3

We will now calculate the prime factors of 79356 and 79371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79356 and 79371.

How to find the GCF of 79356 and 79371?

We will first find the prime factorization of 79356 and 79371. After we will calculate the factors of 79356 and 79371 and find the biggest common factor number .

Step-1: Prime Factorization of 79356

Prime factors of 79356 are 2, 3, 17, 389. Prime factorization of 79356 in exponential form is:

79356 = 2² × 3¹ × 17¹ × 389¹

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 79356

List of positive integer factors of 79356 that divides 79356 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 389, 778, 1167, 1556, 2334, 4668, 6613, 13226, 19839, 26452, 39678

Step-4: Factors of 79371

List of positive integer factors of 79371 that divides 79356 without a remainder.

1, 3, 9, 8819, 26457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79356 and 79371. The biggest common factor number is the GCF number.
So the greatest common factor 79356 and 79371 is 3.

Also check out the Least Common Multiple of 79356 and 79371