What is the Greatest Common Factor of 13007 and 13024?

Greatest common factor (GCF) of 13007 and 13024 is 1.

GCF(13007,13024) = 1

We will now calculate the prime factors of 13007 and 13024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13007 and 13024.

How to find the GCF of 13007 and 13024?

We will first find the prime factorization of 13007 and 13024. After we will calculate the factors of 13007 and 13024 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 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 2⁵ × 11¹ × 37¹

Step-3: Factors of 13007

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

Step-4: Factors of 13024

List of positive integer factors of 13024 that divides 13007 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 74, 88, 148, 176, 296, 352, 407, 592, 814, 1184, 1628, 3256, 6512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13007 and 13024. The biggest common factor number is the GCF number.
So the greatest common factor 13007 and 13024 is 1.

Also check out the Least Common Multiple of 13007 and 13024