What is the Greatest Common Factor of 13284 and 13295?

Greatest common factor (GCF) of 13284 and 13295 is 1.

GCF(13284,13295) = 1

We will now calculate the prime factors of 13284 and 13295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13295.

How to find the GCF of 13284 and 13295?

We will first find the prime factorization of 13284 and 13295. After we will calculate the factors of 13284 and 13295 and find the biggest common factor number .

Step-1: Prime Factorization of 13284

Prime factors of 13284 are 2, 3, 41. Prime factorization of 13284 in exponential form is:

13284 = 2² × 3⁴ × 41¹

Step-2: Prime Factorization of 13295

Prime factors of 13295 are 5, 2659. Prime factorization of 13295 in exponential form is:

13295 = 5¹ × 2659¹

Step-3: Factors of 13284

List of positive integer factors of 13284 that divides 13284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 81, 82, 108, 123, 162, 164, 246, 324, 369, 492, 738, 1107, 1476, 2214, 3321, 4428, 6642

Step-4: Factors of 13295

List of positive integer factors of 13295 that divides 13284 without a remainder.

1, 5, 2659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13295. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13295 is 1.

Also check out the Least Common Multiple of 13284 and 13295