What is the Greatest Common Factor of 13284 and 13293?

Greatest common factor (GCF) of 13284 and 13293 is 9.

GCF(13284,13293) = 9

We will now calculate the prime factors of 13284 and 13293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13293.

How to find the GCF of 13284 and 13293?

We will first find the prime factorization of 13284 and 13293. After we will calculate the factors of 13284 and 13293 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 13293

Prime factors of 13293 are 3, 7, 211. Prime factorization of 13293 in exponential form is:

13293 = 3² × 7¹ × 211¹

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 13293

List of positive integer factors of 13293 that divides 13284 without a remainder.

1, 3, 7, 9, 21, 63, 211, 633, 1477, 1899, 4431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13293. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13293 is 9.

Also check out the Least Common Multiple of 13284 and 13293