What is the Greatest Common Factor of 79339 and 79356?

Greatest common factor (GCF) of 79339 and 79356 is 17.

GCF(79339,79356) = 17

We will now calculate the prime factors of 79339 and 79356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79339 and 79356.

How to find the GCF of 79339 and 79356?

We will first find the prime factorization of 79339 and 79356. After we will calculate the factors of 79339 and 79356 and find the biggest common factor number .

Step-1: Prime Factorization of 79339

Prime factors of 79339 are 13, 17, 359. Prime factorization of 79339 in exponential form is:

79339 = 13¹ × 17¹ × 359¹

Step-2: 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-3: Factors of 79339

List of positive integer factors of 79339 that divides 79339 without a remainder.

1, 13, 17, 221, 359, 4667, 6103

Step-4: Factors of 79356

List of positive integer factors of 79356 that divides 79339 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79339 and 79356. The biggest common factor number is the GCF number.
So the greatest common factor 79339 and 79356 is 17.

Also check out the Least Common Multiple of 79339 and 79356