What is the Greatest Common Factor of 13007 and 13023?

Greatest common factor (GCF) of 13007 and 13023 is 1.

GCF(13007,13023) = 1

We will now calculate the prime factors of 13007 and 13023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13007 and 13023.

How to find the GCF of 13007 and 13023?

We will first find the prime factorization of 13007 and 13023. After we will calculate the factors of 13007 and 13023 and find the biggest common factor number .

Step-1: Prime Factorization of 13007

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

13007 = 13007¹

Step-2: Prime Factorization of 13023

Prime factors of 13023 are 3, 1447. Prime factorization of 13023 in exponential form is:

13023 = 3² × 1447¹

Step-3: Factors of 13007

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

Step-4: Factors of 13023

List of positive integer factors of 13023 that divides 13007 without a remainder.

1, 3, 9, 1447, 4341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13007 and 13023. The biggest common factor number is the GCF number.
So the greatest common factor 13007 and 13023 is 1.

Also check out the Least Common Multiple of 13007 and 13023