What is the Greatest Common Factor of 16635 and 16647?

Greatest common factor (GCF) of 16635 and 16647 is 3.

GCF(16635,16647) = 3

We will now calculate the prime factors of 16635 and 16647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16635 and 16647.

How to find the GCF of 16635 and 16647?

We will first find the prime factorization of 16635 and 16647. After we will calculate the factors of 16635 and 16647 and find the biggest common factor number .

Step-1: Prime Factorization of 16635

Prime factors of 16635 are 3, 5, 1109. Prime factorization of 16635 in exponential form is:

16635 = 3¹ × 5¹ × 1109¹

Step-2: Prime Factorization of 16647

Prime factors of 16647 are 3, 31, 179. Prime factorization of 16647 in exponential form is:

16647 = 3¹ × 31¹ × 179¹

Step-3: Factors of 16635

List of positive integer factors of 16635 that divides 16635 without a remainder.

1, 3, 5, 15, 1109, 3327, 5545

Step-4: Factors of 16647

List of positive integer factors of 16647 that divides 16635 without a remainder.

1, 3, 31, 93, 179, 537, 5549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16635 and 16647. The biggest common factor number is the GCF number.
So the greatest common factor 16635 and 16647 is 3.

Also check out the Least Common Multiple of 16635 and 16647