What is the Greatest Common Factor of 12237 and 12249?

Greatest common factor (GCF) of 12237 and 12249 is 3.

GCF(12237,12249) = 3

We will now calculate the prime factors of 12237 and 12249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12237 and 12249.

How to find the GCF of 12237 and 12249?

We will first find the prime factorization of 12237 and 12249. After we will calculate the factors of 12237 and 12249 and find the biggest common factor number .

Step-1: Prime Factorization of 12237

Prime factors of 12237 are 3, 4079. Prime factorization of 12237 in exponential form is:

12237 = 3¹ × 4079¹

Step-2: Prime Factorization of 12249

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

12249 = 3² × 1361¹

Step-3: Factors of 12237

List of positive integer factors of 12237 that divides 12237 without a remainder.

1, 3, 4079

Step-4: Factors of 12249

List of positive integer factors of 12249 that divides 12237 without a remainder.

1, 3, 9, 1361, 4083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12237 and 12249. The biggest common factor number is the GCF number.
So the greatest common factor 12237 and 12249 is 3.

Also check out the Least Common Multiple of 12237 and 12249