What is the Greatest Common Factor of 13296 and 13308?

Greatest common factor (GCF) of 13296 and 13308 is 12.

GCF(13296,13308) = 12

We will now calculate the prime factors of 13296 and 13308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13296 and 13308.

How to find the GCF of 13296 and 13308?

We will first find the prime factorization of 13296 and 13308. After we will calculate the factors of 13296 and 13308 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13308

Prime factors of 13308 are 2, 3, 1109. Prime factorization of 13308 in exponential form is:

13308 = 2² × 3¹ × 1109¹

Step-3: Factors of 13296

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

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

Step-4: Factors of 13308

List of positive integer factors of 13308 that divides 13296 without a remainder.

1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13296 and 13308. The biggest common factor number is the GCF number.
So the greatest common factor 13296 and 13308 is 12.

Also check out the Least Common Multiple of 13296 and 13308