What is the Greatest Common Factor of 10647 and 10659?

Greatest common factor (GCF) of 10647 and 10659 is 3.

GCF(10647,10659) = 3

We will now calculate the prime factors of 10647 and 10659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10647 and 10659.

How to find the GCF of 10647 and 10659?

We will first find the prime factorization of 10647 and 10659. After we will calculate the factors of 10647 and 10659 and find the biggest common factor number .

Step-1: Prime Factorization of 10647

Prime factors of 10647 are 3, 7, 13. Prime factorization of 10647 in exponential form is:

10647 = 3² × 7¹ × 13²

Step-2: Prime Factorization of 10659

Prime factors of 10659 are 3, 11, 17, 19. Prime factorization of 10659 in exponential form is:

10659 = 3¹ × 11¹ × 17¹ × 19¹

Step-3: Factors of 10647

List of positive integer factors of 10647 that divides 10647 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 169, 273, 507, 819, 1183, 1521, 3549

Step-4: Factors of 10659

List of positive integer factors of 10659 that divides 10647 without a remainder.

1, 3, 11, 17, 19, 33, 51, 57, 187, 209, 323, 561, 627, 969, 3553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10647 and 10659. The biggest common factor number is the GCF number.
So the greatest common factor 10647 and 10659 is 3.

Also check out the Least Common Multiple of 10647 and 10659