What is the Greatest Common Factor of 13284 and 13294?

Greatest common factor (GCF) of 13284 and 13294 is 2.

GCF(13284,13294) = 2

We will now calculate the prime factors of 13284 and 13294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13284 and 13294.

How to find the GCF of 13284 and 13294?

We will first find the prime factorization of 13284 and 13294. After we will calculate the factors of 13284 and 13294 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 13294

Prime factors of 13294 are 2, 17, 23. Prime factorization of 13294 in exponential form is:

13294 = 2¹ × 17² × 23¹

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 13294

List of positive integer factors of 13294 that divides 13284 without a remainder.

1, 2, 17, 23, 34, 46, 289, 391, 578, 782, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13284 and 13294. The biggest common factor number is the GCF number.
So the greatest common factor 13284 and 13294 is 2.

Also check out the Least Common Multiple of 13284 and 13294