What is the Greatest Common Factor of 12234 and 12249?

Greatest common factor (GCF) of 12234 and 12249 is 3.

GCF(12234,12249) = 3

We will now calculate the prime factors of 12234 and 12249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12234 and 12249.

How to find the GCF of 12234 and 12249?

We will first find the prime factorization of 12234 and 12249. After we will calculate the factors of 12234 and 12249 and find the biggest common factor number .

Step-1: Prime Factorization of 12234

Prime factors of 12234 are 2, 3, 2039. Prime factorization of 12234 in exponential form is:

12234 = 2¹ × 3¹ × 2039¹

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 12234

List of positive integer factors of 12234 that divides 12234 without a remainder.

1, 2, 3, 6, 2039, 4078, 6117

Step-4: Factors of 12249

List of positive integer factors of 12249 that divides 12234 without a remainder.

1, 3, 9, 1361, 4083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12234 and 12249. The biggest common factor number is the GCF number.
So the greatest common factor 12234 and 12249 is 3.

Also check out the Least Common Multiple of 12234 and 12249