What is the Greatest Common Factor of 10659 and 10670?

Greatest common factor (GCF) of 10659 and 10670 is 11.

GCF(10659,10670) = 11

We will now calculate the prime factors of 10659 and 10670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10659 and 10670.

How to find the GCF of 10659 and 10670?

We will first find the prime factorization of 10659 and 10670. After we will calculate the factors of 10659 and 10670 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 10670

Prime factors of 10670 are 2, 5, 11, 97. Prime factorization of 10670 in exponential form is:

10670 = 2¹ × 5¹ × 11¹ × 97¹

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 10670

List of positive integer factors of 10670 that divides 10659 without a remainder.

1, 2, 5, 10, 11, 22, 55, 97, 110, 194, 485, 970, 1067, 2134, 5335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10659 and 10670. The biggest common factor number is the GCF number.
So the greatest common factor 10659 and 10670 is 11.

Also check out the Least Common Multiple of 10659 and 10670