What is the Greatest Common Factor of 16647 and 16663?

Greatest common factor (GCF) of 16647 and 16663 is 1.

GCF(16647,16663) = 1

We will now calculate the prime factors of 16647 and 16663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16647 and 16663.

How to find the GCF of 16647 and 16663?

We will first find the prime factorization of 16647 and 16663. After we will calculate the factors of 16647 and 16663 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 16663

Prime factors of 16663 are 19, 877. Prime factorization of 16663 in exponential form is:

16663 = 19¹ × 877¹

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 16663

List of positive integer factors of 16663 that divides 16647 without a remainder.

1, 19, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16647 and 16663. The biggest common factor number is the GCF number.
So the greatest common factor 16647 and 16663 is 1.

Also check out the Least Common Multiple of 16647 and 16663