What is the Greatest Common Factor of 12249 and 12255?

Greatest common factor (GCF) of 12249 and 12255 is 3.

GCF(12249,12255) = 3

We will now calculate the prime factors of 12249 and 12255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12249 and 12255.

How to find the GCF of 12249 and 12255?

We will first find the prime factorization of 12249 and 12255. After we will calculate the factors of 12249 and 12255 and find the biggest common factor number .

Step-1: Prime Factorization of 12249

Prime factors of 12249 are 3, 1361. Prime factorization of 12249 in exponential form is:

12249 = 3² × 1361¹

Step-2: Prime Factorization of 12255

Prime factors of 12255 are 3, 5, 19, 43. Prime factorization of 12255 in exponential form is:

12255 = 3¹ × 5¹ × 19¹ × 43¹

Step-3: Factors of 12249

List of positive integer factors of 12249 that divides 12249 without a remainder.

1, 3, 9, 1361, 4083

Step-4: Factors of 12255

List of positive integer factors of 12255 that divides 12249 without a remainder.

1, 3, 5, 15, 19, 43, 57, 95, 129, 215, 285, 645, 817, 2451, 4085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12249 and 12255. The biggest common factor number is the GCF number.
So the greatest common factor 12249 and 12255 is 3.

Also check out the Least Common Multiple of 12249 and 12255