What is the Greatest Common Factor of 79359 and 79366?

Greatest common factor (GCF) of 79359 and 79366 is 7.

GCF(79359,79366) = 7

We will now calculate the prime factors of 79359 and 79366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79359 and 79366.

How to find the GCF of 79359 and 79366?

We will first find the prime factorization of 79359 and 79366. After we will calculate the factors of 79359 and 79366 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 79366

Prime factors of 79366 are 2, 7, 5669. Prime factorization of 79366 in exponential form is:

79366 = 2¹ × 7¹ × 5669¹

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 79366

List of positive integer factors of 79366 that divides 79359 without a remainder.

1, 2, 7, 14, 5669, 11338, 39683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79359 and 79366. The biggest common factor number is the GCF number.
So the greatest common factor 79359 and 79366 is 7.

Also check out the Least Common Multiple of 79359 and 79366