What is the Greatest Common Factor of 79659 and 79671?

Greatest common factor (GCF) of 79659 and 79671 is 3.

GCF(79659,79671) = 3

We will now calculate the prime factors of 79659 and 79671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79659 and 79671.

How to find the GCF of 79659 and 79671?

We will first find the prime factorization of 79659 and 79671. After we will calculate the factors of 79659 and 79671 and find the biggest common factor number .

Step-1: Prime Factorization of 79659

Prime factors of 79659 are 3, 53, 167. Prime factorization of 79659 in exponential form is:

79659 = 3² × 53¹ × 167¹

Step-2: Prime Factorization of 79671

Prime factors of 79671 are 3, 26557. Prime factorization of 79671 in exponential form is:

79671 = 3¹ × 26557¹

Step-3: Factors of 79659

List of positive integer factors of 79659 that divides 79659 without a remainder.

1, 3, 9, 53, 159, 167, 477, 501, 1503, 8851, 26553

Step-4: Factors of 79671

List of positive integer factors of 79671 that divides 79659 without a remainder.

1, 3, 26557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79659 and 79671. The biggest common factor number is the GCF number.
So the greatest common factor 79659 and 79671 is 3.

Also check out the Least Common Multiple of 79659 and 79671