What is the Greatest Common Factor of 13305 and 13309?

Greatest common factor (GCF) of 13305 and 13309 is 1.

GCF(13305,13309) = 1

We will now calculate the prime factors of 13305 and 13309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13305 and 13309.

How to find the GCF of 13305 and 13309?

We will first find the prime factorization of 13305 and 13309. After we will calculate the factors of 13305 and 13309 and find the biggest common factor number .

Step-1: Prime Factorization of 13305

Prime factors of 13305 are 3, 5, 887. Prime factorization of 13305 in exponential form is:

13305 = 3¹ × 5¹ × 887¹

Step-2: Prime Factorization of 13309

Prime factors of 13309 are 13309. Prime factorization of 13309 in exponential form is:

13309 = 13309¹

Step-3: Factors of 13305

List of positive integer factors of 13305 that divides 13305 without a remainder.

1, 3, 5, 15, 887, 2661, 4435

Step-4: Factors of 13309

List of positive integer factors of 13309 that divides 13305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13305 and 13309. The biggest common factor number is the GCF number.
So the greatest common factor 13305 and 13309 is 1.

Also check out the Least Common Multiple of 13305 and 13309