What is the Greatest Common Factor of 13266 and 13284?

Greatest common factor (GCF) of 13266 and 13284 is 18.

GCF(13266,13284) = 18

We will now calculate the prime factors of 13266 and 13284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13266 and 13284.

How to find the GCF of 13266 and 13284?

We will first find the prime factorization of 13266 and 13284. After we will calculate the factors of 13266 and 13284 and find the biggest common factor number .

Step-1: Prime Factorization of 13266

Prime factors of 13266 are 2, 3, 11, 67. Prime factorization of 13266 in exponential form is:

13266 = 2¹ × 3² × 11¹ × 67¹

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 13266

List of positive integer factors of 13266 that divides 13266 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 67, 99, 134, 198, 201, 402, 603, 737, 1206, 1474, 2211, 4422, 6633

Step-4: Factors of 13284

List of positive integer factors of 13284 that divides 13266 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 13266 and 13284. The biggest common factor number is the GCF number.
So the greatest common factor 13266 and 13284 is 18.

Also check out the Least Common Multiple of 13266 and 13284