What is the Greatest Common Factor of 16647 and 16665?

Greatest common factor (GCF) of 16647 and 16665 is 3.

GCF(16647,16665) = 3

We will now calculate the prime factors of 16647 and 16665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16647 and 16665.

How to find the GCF of 16647 and 16665?

We will first find the prime factorization of 16647 and 16665. After we will calculate the factors of 16647 and 16665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16665

Prime factors of 16665 are 3, 5, 11, 101. Prime factorization of 16665 in exponential form is:

16665 = 3¹ × 5¹ × 11¹ × 101¹

Step-3: Factors of 16647

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

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

Step-4: Factors of 16665

List of positive integer factors of 16665 that divides 16647 without a remainder.

1, 3, 5, 11, 15, 33, 55, 101, 165, 303, 505, 1111, 1515, 3333, 5555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16647 and 16665. The biggest common factor number is the GCF number.
So the greatest common factor 16647 and 16665 is 3.

Also check out the Least Common Multiple of 16647 and 16665