What is the Greatest Common Factor of 13000 and 13007?

Greatest common factor (GCF) of 13000 and 13007 is 1.

GCF(13000,13007) = 1

We will now calculate the prime factors of 13000 and 13007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13000 and 13007.

How to find the GCF of 13000 and 13007?

We will first find the prime factorization of 13000 and 13007. After we will calculate the factors of 13000 and 13007 and find the biggest common factor number .

Step-1: Prime Factorization of 13000

Prime factors of 13000 are 2, 5, 13. Prime factorization of 13000 in exponential form is:

13000 = 2³ × 5³ × 13¹

Step-2: Prime Factorization of 13007

Prime factors of 13007 are 13007. Prime factorization of 13007 in exponential form is:

13007 = 13007¹

Step-3: Factors of 13000

List of positive integer factors of 13000 that divides 13000 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 125, 130, 200, 250, 260, 325, 500, 520, 650, 1000, 1300, 1625, 2600, 3250, 6500

Step-4: Factors of 13007

List of positive integer factors of 13007 that divides 13000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13000 and 13007. The biggest common factor number is the GCF number.
So the greatest common factor 13000 and 13007 is 1.

Also check out the Least Common Multiple of 13000 and 13007