What is the Greatest Common Factor of 13278 and 13284?

Greatest common factor (GCF) of 13278 and 13284 is 6.

GCF(13278,13284) = 6

We will now calculate the prime factors of 13278 and 13284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13278 and 13284.

How to find the GCF of 13278 and 13284?

We will first find the prime factorization of 13278 and 13284. After we will calculate the factors of 13278 and 13284 and find the biggest common factor number .

Step-1: Prime Factorization of 13278

Prime factors of 13278 are 2, 3, 2213. Prime factorization of 13278 in exponential form is:

13278 = 2¹ × 3¹ × 2213¹

Step-2: 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-3: Factors of 13278

List of positive integer factors of 13278 that divides 13278 without a remainder.

1, 2, 3, 6, 2213, 4426, 6639

Step-4: Factors of 13284

List of positive integer factors of 13284 that divides 13278 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13278 and 13284. The biggest common factor number is the GCF number.
So the greatest common factor 13278 and 13284 is 6.

Also check out the Least Common Multiple of 13278 and 13284