What is the Greatest Common Factor of 79314 and 79332?

Greatest common factor (GCF) of 79314 and 79332 is 6.

GCF(79314,79332) = 6

We will now calculate the prime factors of 79314 and 79332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79314 and 79332.

How to find the GCF of 79314 and 79332?

We will first find the prime factorization of 79314 and 79332. After we will calculate the factors of 79314 and 79332 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 79332

Prime factors of 79332 are 2, 3, 11, 601. Prime factorization of 79332 in exponential form is:

79332 = 2² × 3¹ × 11¹ × 601¹

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 79332

List of positive integer factors of 79332 that divides 79314 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 601, 1202, 1803, 2404, 3606, 6611, 7212, 13222, 19833, 26444, 39666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79314 and 79332. The biggest common factor number is the GCF number.
So the greatest common factor 79314 and 79332 is 6.

Also check out the Least Common Multiple of 79314 and 79332