What is the Greatest Common Factor of 13251 and 13265?

Greatest common factor (GCF) of 13251 and 13265 is 7.

GCF(13251,13265) = 7

We will now calculate the prime factors of 13251 and 13265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13251 and 13265.

How to find the GCF of 13251 and 13265?

We will first find the prime factorization of 13251 and 13265. After we will calculate the factors of 13251 and 13265 and find the biggest common factor number .

Step-1: Prime Factorization of 13251

Prime factors of 13251 are 3, 7, 631. Prime factorization of 13251 in exponential form is:

13251 = 3¹ × 7¹ × 631¹

Step-2: 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-3: Factors of 13251

List of positive integer factors of 13251 that divides 13251 without a remainder.

1, 3, 7, 21, 631, 1893, 4417

Step-4: Factors of 13265

List of positive integer factors of 13265 that divides 13251 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13251 and 13265. The biggest common factor number is the GCF number.
So the greatest common factor 13251 and 13265 is 7.

Also check out the Least Common Multiple of 13251 and 13265