What is the Greatest Common Factor of 16635 and 16641?

Greatest common factor (GCF) of 16635 and 16641 is 3.

GCF(16635,16641) = 3

We will now calculate the prime factors of 16635 and 16641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16635 and 16641.

How to find the GCF of 16635 and 16641?

We will first find the prime factorization of 16635 and 16641. After we will calculate the factors of 16635 and 16641 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 16641

Prime factors of 16641 are 3, 43. Prime factorization of 16641 in exponential form is:

16641 = 3² × 43²

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 16641

List of positive integer factors of 16641 that divides 16635 without a remainder.

1, 3, 9, 43, 129, 387, 1849, 5547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16635 and 16641. The biggest common factor number is the GCF number.
So the greatest common factor 16635 and 16641 is 3.

Also check out the Least Common Multiple of 16635 and 16641