What is the Greatest Common Factor of 10659 and 10674?

Greatest common factor (GCF) of 10659 and 10674 is 3.

GCF(10659,10674) = 3

We will now calculate the prime factors of 10659 and 10674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10659 and 10674.

How to find the GCF of 10659 and 10674?

We will first find the prime factorization of 10659 and 10674. After we will calculate the factors of 10659 and 10674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10674

Prime factors of 10674 are 2, 3, 593. Prime factorization of 10674 in exponential form is:

10674 = 2¹ × 3² × 593¹

Step-3: Factors of 10659

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

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

Step-4: Factors of 10674

List of positive integer factors of 10674 that divides 10659 without a remainder.

1, 2, 3, 6, 9, 18, 593, 1186, 1779, 3558, 5337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10659 and 10674. The biggest common factor number is the GCF number.
So the greatest common factor 10659 and 10674 is 3.

Also check out the Least Common Multiple of 10659 and 10674