What is the Greatest Common Factor of 10659 and 10669?

Greatest common factor (GCF) of 10659 and 10669 is 1.

GCF(10659,10669) = 1

We will now calculate the prime factors of 10659 and 10669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10659 and 10669.

How to find the GCF of 10659 and 10669?

We will first find the prime factorization of 10659 and 10669. After we will calculate the factors of 10659 and 10669 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 10669

Prime factors of 10669 are 47, 227. Prime factorization of 10669 in exponential form is:

10669 = 47¹ × 227¹

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 10669

List of positive integer factors of 10669 that divides 10659 without a remainder.

1, 47, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10659 and 10669. The biggest common factor number is the GCF number.
So the greatest common factor 10659 and 10669 is 1.

Also check out the Least Common Multiple of 10659 and 10669