What is the Greatest Common Factor of 13109 and 13125?

Greatest common factor (GCF) of 13109 and 13125 is 1.

GCF(13109,13125) = 1

We will now calculate the prime factors of 13109 and 13125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13109 and 13125.

How to find the GCF of 13109 and 13125?

We will first find the prime factorization of 13109 and 13125. After we will calculate the factors of 13109 and 13125 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 13125

Prime factors of 13125 are 3, 5, 7. Prime factorization of 13125 in exponential form is:

13125 = 3¹ × 5⁴ × 7¹

Step-3: Factors of 13109

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

Step-4: Factors of 13125

List of positive integer factors of 13125 that divides 13109 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 4375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13109 and 13125. The biggest common factor number is the GCF number.
So the greatest common factor 13109 and 13125 is 1.

Also check out the Least Common Multiple of 13109 and 13125