What is the Greatest Common Factor of 13089 and 13109?

Greatest common factor (GCF) of 13089 and 13109 is 1.

GCF(13089,13109) = 1

We will now calculate the prime factors of 13089 and 13109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13089 and 13109.

How to find the GCF of 13089 and 13109?

We will first find the prime factorization of 13089 and 13109. After we will calculate the factors of 13089 and 13109 and find the biggest common factor number .

Step-1: Prime Factorization of 13089

Prime factors of 13089 are 3, 4363. Prime factorization of 13089 in exponential form is:

13089 = 3¹ × 4363¹

Step-2: Prime Factorization of 13109

Prime factors of 13109 are 13109. Prime factorization of 13109 in exponential form is:

13109 = 13109¹

Step-3: Factors of 13089

List of positive integer factors of 13089 that divides 13089 without a remainder.

1, 3, 4363

Step-4: Factors of 13109

List of positive integer factors of 13109 that divides 13089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13089 and 13109. The biggest common factor number is the GCF number.
So the greatest common factor 13089 and 13109 is 1.

Also check out the Least Common Multiple of 13089 and 13109