What is the Greatest Common Factor of 79314 and 79318?

Greatest common factor (GCF) of 79314 and 79318 is 2.

GCF(79314,79318) = 2

We will now calculate the prime factors of 79314 and 79318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79314 and 79318.

How to find the GCF of 79314 and 79318?

We will first find the prime factorization of 79314 and 79318. After we will calculate the factors of 79314 and 79318 and find the biggest common factor number .

Step-1: Prime Factorization of 79314

Prime factors of 79314 are 2, 3, 13219. Prime factorization of 79314 in exponential form is:

79314 = 2¹ × 3¹ × 13219¹

Step-2: Prime Factorization of 79318

Prime factors of 79318 are 2, 39659. Prime factorization of 79318 in exponential form is:

79318 = 2¹ × 39659¹

Step-3: Factors of 79314

List of positive integer factors of 79314 that divides 79314 without a remainder.

1, 2, 3, 6, 13219, 26438, 39657

Step-4: Factors of 79318

List of positive integer factors of 79318 that divides 79314 without a remainder.

1, 2, 39659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79314 and 79318. The biggest common factor number is the GCF number.
So the greatest common factor 79314 and 79318 is 2.

Also check out the Least Common Multiple of 79314 and 79318