What is the Greatest Common Factor of 13689 and 13701?

Greatest common factor (GCF) of 13689 and 13701 is 3.

GCF(13689,13701) = 3

We will now calculate the prime factors of 13689 and 13701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13689 and 13701.

How to find the GCF of 13689 and 13701?

We will first find the prime factorization of 13689 and 13701. After we will calculate the factors of 13689 and 13701 and find the biggest common factor number .

Step-1: Prime Factorization of 13689

Prime factors of 13689 are 3, 13. Prime factorization of 13689 in exponential form is:

13689 = 3⁴ × 13²

Step-2: Prime Factorization of 13701

Prime factors of 13701 are 3, 4567. Prime factorization of 13701 in exponential form is:

13701 = 3¹ × 4567¹

Step-3: Factors of 13689

List of positive integer factors of 13689 that divides 13689 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 169, 351, 507, 1053, 1521, 4563

Step-4: Factors of 13701

List of positive integer factors of 13701 that divides 13689 without a remainder.

1, 3, 4567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13689 and 13701. The biggest common factor number is the GCF number.
So the greatest common factor 13689 and 13701 is 3.

Also check out the Least Common Multiple of 13689 and 13701