What is the Greatest Common Factor of 13284 and 13296?

Greatest common factor (GCF) of 13284 and 13296 is 12.

GCF(13284,13296) = 12

We will now calculate the prime factors of 13284 and 13296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13296.

How to find the GCF of 13284 and 13296?

We will first find the prime factorization of 13284 and 13296. After we will calculate the factors of 13284 and 13296 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 13296

Prime factors of 13296 are 2, 3, 277. Prime factorization of 13296 in exponential form is:

13296 = 2⁴ × 3¹ × 277¹

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 13296

List of positive integer factors of 13296 that divides 13284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 277, 554, 831, 1108, 1662, 2216, 3324, 4432, 6648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13296. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13296 is 12.

Also check out the Least Common Multiple of 13284 and 13296