What is the Greatest Common Factor of 79317 and 79324?

Greatest common factor (GCF) of 79317 and 79324 is 7.

GCF(79317,79324) = 7

We will now calculate the prime factors of 79317 and 79324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79317 and 79324.

How to find the GCF of 79317 and 79324?

We will first find the prime factorization of 79317 and 79324. After we will calculate the factors of 79317 and 79324 and find the biggest common factor number .

Step-1: Prime Factorization of 79317

Prime factors of 79317 are 3, 7, 1259. Prime factorization of 79317 in exponential form is:

79317 = 3² × 7¹ × 1259¹

Step-2: Prime Factorization of 79324

Prime factors of 79324 are 2, 7, 2833. Prime factorization of 79324 in exponential form is:

79324 = 2² × 7¹ × 2833¹

Step-3: Factors of 79317

List of positive integer factors of 79317 that divides 79317 without a remainder.

1, 3, 7, 9, 21, 63, 1259, 3777, 8813, 11331, 26439

Step-4: Factors of 79324

List of positive integer factors of 79324 that divides 79317 without a remainder.

1, 2, 4, 7, 14, 28, 2833, 5666, 11332, 19831, 39662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79317 and 79324. The biggest common factor number is the GCF number.
So the greatest common factor 79317 and 79324 is 7.

Also check out the Least Common Multiple of 79317 and 79324