What is the Greatest Common Factor of 12249 and 12261?

Greatest common factor (GCF) of 12249 and 12261 is 3.

GCF(12249,12261) = 3

We will now calculate the prime factors of 12249 and 12261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12249 and 12261.

How to find the GCF of 12249 and 12261?

We will first find the prime factorization of 12249 and 12261. After we will calculate the factors of 12249 and 12261 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 12261

Prime factors of 12261 are 3, 61, 67. Prime factorization of 12261 in exponential form is:

12261 = 3¹ × 61¹ × 67¹

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 12261

List of positive integer factors of 12261 that divides 12249 without a remainder.

1, 3, 61, 67, 183, 201, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12249 and 12261. The biggest common factor number is the GCF number.
So the greatest common factor 12249 and 12261 is 3.

Also check out the Least Common Multiple of 12249 and 12261