What is the Greatest Common Factor of 13003 and 13007?

Greatest common factor (GCF) of 13003 and 13007 is 1.

GCF(13003,13007) = 1

We will now calculate the prime factors of 13003 and 13007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13003 and 13007.

How to find the GCF of 13003 and 13007?

We will first find the prime factorization of 13003 and 13007. After we will calculate the factors of 13003 and 13007 and find the biggest common factor number .

Step-1: Prime Factorization of 13003

Prime factors of 13003 are 13003. Prime factorization of 13003 in exponential form is:

13003 = 13003¹

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 13003

List of positive integer factors of 13003 that divides 13003 without a remainder.

Step-4: Factors of 13007

List of positive integer factors of 13007 that divides 13003 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13003 and 13007. The biggest common factor number is the GCF number.
So the greatest common factor 13003 and 13007 is 1.

Also check out the Least Common Multiple of 13003 and 13007