What is the Greatest Common Factor of 13284 and 13302?

Greatest common factor (GCF) of 13284 and 13302 is 18.

GCF(13284,13302) = 18

We will now calculate the prime factors of 13284 and 13302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13302.

How to find the GCF of 13284 and 13302?

We will first find the prime factorization of 13284 and 13302. After we will calculate the factors of 13284 and 13302 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 13302

Prime factors of 13302 are 2, 3, 739. Prime factorization of 13302 in exponential form is:

13302 = 2¹ × 3² × 739¹

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 13302

List of positive integer factors of 13302 that divides 13284 without a remainder.

1, 2, 3, 6, 9, 18, 739, 1478, 2217, 4434, 6651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13302. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13302 is 18.

Also check out the Least Common Multiple of 13284 and 13302