What is the Greatest Common Factor of 13641 and 13659?

Greatest common factor (GCF) of 13641 and 13659 is 3.

GCF(13641,13659) = 3

We will now calculate the prime factors of 13641 and 13659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13641 and 13659.

How to find the GCF of 13641 and 13659?

We will first find the prime factorization of 13641 and 13659. After we will calculate the factors of 13641 and 13659 and find the biggest common factor number .

Step-1: Prime Factorization of 13641

Prime factors of 13641 are 3, 4547. Prime factorization of 13641 in exponential form is:

13641 = 3¹ × 4547¹

Step-2: Prime Factorization of 13659

Prime factors of 13659 are 3, 29, 157. Prime factorization of 13659 in exponential form is:

13659 = 3¹ × 29¹ × 157¹

Step-3: Factors of 13641

List of positive integer factors of 13641 that divides 13641 without a remainder.

1, 3, 4547

Step-4: Factors of 13659

List of positive integer factors of 13659 that divides 13641 without a remainder.

1, 3, 29, 87, 157, 471, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13641 and 13659. The biggest common factor number is the GCF number.
So the greatest common factor 13641 and 13659 is 3.

Also check out the Least Common Multiple of 13641 and 13659