What is the Greatest Common Factor of 13005 and 13010?

Greatest common factor (GCF) of 13005 and 13010 is 5.

GCF(13005,13010) = 5

We will now calculate the prime factors of 13005 and 13010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13005 and 13010.

How to find the GCF of 13005 and 13010?

We will first find the prime factorization of 13005 and 13010. After we will calculate the factors of 13005 and 13010 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 13010

Prime factors of 13010 are 2, 5, 1301. Prime factorization of 13010 in exponential form is:

13010 = 2¹ × 5¹ × 1301¹

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 13010

List of positive integer factors of 13010 that divides 13005 without a remainder.

1, 2, 5, 10, 1301, 2602, 6505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13005 and 13010. The biggest common factor number is the GCF number.
So the greatest common factor 13005 and 13010 is 5.

Also check out the Least Common Multiple of 13005 and 13010