What is the Greatest Common Factor of 13109 and 13115?

Greatest common factor (GCF) of 13109 and 13115 is 1.

GCF(13109,13115) = 1

We will now calculate the prime factors of 13109 and 13115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13109 and 13115.

How to find the GCF of 13109 and 13115?

We will first find the prime factorization of 13109 and 13115. After we will calculate the factors of 13109 and 13115 and find the biggest common factor number .

Step-1: Prime Factorization of 13109

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

13109 = 13109¹

Step-2: Prime Factorization of 13115

Prime factors of 13115 are 5, 43, 61. Prime factorization of 13115 in exponential form is:

13115 = 5¹ × 43¹ × 61¹

Step-3: Factors of 13109

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

Step-4: Factors of 13115

List of positive integer factors of 13115 that divides 13109 without a remainder.

1, 5, 43, 61, 215, 305, 2623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13109 and 13115. The biggest common factor number is the GCF number.
So the greatest common factor 13109 and 13115 is 1.

Also check out the Least Common Multiple of 13109 and 13115