What is the Greatest Common Factor of 13005 and 13022?

Greatest common factor (GCF) of 13005 and 13022 is 17.

GCF(13005,13022) = 17

We will now calculate the prime factors of 13005 and 13022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13005 and 13022.

How to find the GCF of 13005 and 13022?

We will first find the prime factorization of 13005 and 13022. After we will calculate the factors of 13005 and 13022 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 13022

Prime factors of 13022 are 2, 17, 383. Prime factorization of 13022 in exponential form is:

13022 = 2¹ × 17¹ × 383¹

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 13022

List of positive integer factors of 13022 that divides 13005 without a remainder.

1, 2, 17, 34, 383, 766, 6511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13005 and 13022. The biggest common factor number is the GCF number.
So the greatest common factor 13005 and 13022 is 17.

Also check out the Least Common Multiple of 13005 and 13022