What is the Greatest Common Factor of 79659 and 79677?

Greatest common factor (GCF) of 79659 and 79677 is 9.

GCF(79659,79677) = 9

We will now calculate the prime factors of 79659 and 79677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79659 and 79677.

How to find the GCF of 79659 and 79677?

We will first find the prime factorization of 79659 and 79677. After we will calculate the factors of 79659 and 79677 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 79677

Prime factors of 79677 are 3, 13, 227. Prime factorization of 79677 in exponential form is:

79677 = 3³ × 13¹ × 227¹

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 79677

List of positive integer factors of 79677 that divides 79659 without a remainder.

1, 3, 9, 13, 27, 39, 117, 227, 351, 681, 2043, 2951, 6129, 8853, 26559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79659 and 79677. The biggest common factor number is the GCF number.
So the greatest common factor 79659 and 79677 is 9.

Also check out the Least Common Multiple of 79659 and 79677