What is the Greatest Common Factor of 13689 and 13703?

Greatest common factor (GCF) of 13689 and 13703 is 1.

GCF(13689,13703) = 1

We will now calculate the prime factors of 13689 and 13703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13689 and 13703.

How to find the GCF of 13689 and 13703?

We will first find the prime factorization of 13689 and 13703. After we will calculate the factors of 13689 and 13703 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 13703

Prime factors of 13703 are 71, 193. Prime factorization of 13703 in exponential form is:

13703 = 71¹ × 193¹

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 13703

List of positive integer factors of 13703 that divides 13689 without a remainder.

1, 71, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13689 and 13703. The biggest common factor number is the GCF number.
So the greatest common factor 13689 and 13703 is 1.

Also check out the Least Common Multiple of 13689 and 13703