What is the Greatest Common Factor of 13689 and 13709?

Greatest common factor (GCF) of 13689 and 13709 is 1.

GCF(13689,13709) = 1

We will now calculate the prime factors of 13689 and 13709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13689 and 13709.

How to find the GCF of 13689 and 13709?

We will first find the prime factorization of 13689 and 13709. After we will calculate the factors of 13689 and 13709 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 13709

Prime factors of 13709 are 13709. Prime factorization of 13709 in exponential form is:

13709 = 13709¹

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 13709

List of positive integer factors of 13709 that divides 13689 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13689 and 13709. The biggest common factor number is the GCF number.
So the greatest common factor 13689 and 13709 is 1.

Also check out the Least Common Multiple of 13689 and 13709