What is the Greatest Common Factor of 16659 and 16675?

Greatest common factor (GCF) of 16659 and 16675 is 1.

GCF(16659,16675) = 1

We will now calculate the prime factors of 16659 and 16675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16659 and 16675.

How to find the GCF of 16659 and 16675?

We will first find the prime factorization of 16659 and 16675. After we will calculate the factors of 16659 and 16675 and find the biggest common factor number .

Step-1: Prime Factorization of 16659

Prime factors of 16659 are 3, 617. Prime factorization of 16659 in exponential form is:

16659 = 3³ × 617¹

Step-2: Prime Factorization of 16675

Prime factors of 16675 are 5, 23, 29. Prime factorization of 16675 in exponential form is:

16675 = 5² × 23¹ × 29¹

Step-3: Factors of 16659

List of positive integer factors of 16659 that divides 16659 without a remainder.

1, 3, 9, 27, 617, 1851, 5553

Step-4: Factors of 16675

List of positive integer factors of 16675 that divides 16659 without a remainder.

1, 5, 23, 25, 29, 115, 145, 575, 667, 725, 3335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16659 and 16675. The biggest common factor number is the GCF number.
So the greatest common factor 16659 and 16675 is 1.

Also check out the Least Common Multiple of 16659 and 16675