What is the Greatest Common Factor of 13265 and 13279?

Greatest common factor (GCF) of 13265 and 13279 is 7.

GCF(13265,13279) = 7

We will now calculate the prime factors of 13265 and 13279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13265 and 13279.

How to find the GCF of 13265 and 13279?

We will first find the prime factorization of 13265 and 13279. After we will calculate the factors of 13265 and 13279 and find the biggest common factor number .

Step-1: Prime Factorization of 13265

Prime factors of 13265 are 5, 7, 379. Prime factorization of 13265 in exponential form is:

13265 = 5¹ × 7¹ × 379¹

Step-2: Prime Factorization of 13279

Prime factors of 13279 are 7, 271. Prime factorization of 13279 in exponential form is:

13279 = 7² × 271¹

Step-3: Factors of 13265

List of positive integer factors of 13265 that divides 13265 without a remainder.

1, 5, 7, 35, 379, 1895, 2653

Step-4: Factors of 13279

List of positive integer factors of 13279 that divides 13265 without a remainder.

1, 7, 49, 271, 1897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13265 and 13279. The biggest common factor number is the GCF number.
So the greatest common factor 13265 and 13279 is 7.

Also check out the Least Common Multiple of 13265 and 13279