What is the Greatest Common Factor of 16641 and 16653?

Greatest common factor (GCF) of 16641 and 16653 is 3.

GCF(16641,16653) = 3

We will now calculate the prime factors of 16641 and 16653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16641 and 16653.

How to find the GCF of 16641 and 16653?

We will first find the prime factorization of 16641 and 16653. After we will calculate the factors of 16641 and 16653 and find the biggest common factor number .

Step-1: Prime Factorization of 16641

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

16641 = 3² × 43²

Step-2: Prime Factorization of 16653

Prime factors of 16653 are 3, 7, 13, 61. Prime factorization of 16653 in exponential form is:

16653 = 3¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 16641

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

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

Step-4: Factors of 16653

List of positive integer factors of 16653 that divides 16641 without a remainder.

1, 3, 7, 13, 21, 39, 61, 91, 183, 273, 427, 793, 1281, 2379, 5551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16641 and 16653. The biggest common factor number is the GCF number.
So the greatest common factor 16641 and 16653 is 3.

Also check out the Least Common Multiple of 16641 and 16653