What is the Greatest Common Factor of 13005 and 13017?

Greatest common factor (GCF) of 13005 and 13017 is 3.

GCF(13005,13017) = 3

We will now calculate the prime factors of 13005 and 13017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13005 and 13017.

How to find the GCF of 13005 and 13017?

We will first find the prime factorization of 13005 and 13017. After we will calculate the factors of 13005 and 13017 and find the biggest common factor number .

Step-1: Prime Factorization of 13005

Prime factors of 13005 are 3, 5, 17. Prime factorization of 13005 in exponential form is:

13005 = 3² × 5¹ × 17²

Step-2: Prime Factorization of 13017

Prime factors of 13017 are 3, 4339. Prime factorization of 13017 in exponential form is:

13017 = 3¹ × 4339¹

Step-3: Factors of 13005

List of positive integer factors of 13005 that divides 13005 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 289, 765, 867, 1445, 2601, 4335

Step-4: Factors of 13017

List of positive integer factors of 13017 that divides 13005 without a remainder.

1, 3, 4339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13005 and 13017. The biggest common factor number is the GCF number.
So the greatest common factor 13005 and 13017 is 3.

Also check out the Least Common Multiple of 13005 and 13017