What is the Greatest Common Factor of 12249 and 12257?

Greatest common factor (GCF) of 12249 and 12257 is 1.

GCF(12249,12257) = 1

We will now calculate the prime factors of 12249 and 12257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12249 and 12257.

How to find the GCF of 12249 and 12257?

We will first find the prime factorization of 12249 and 12257. After we will calculate the factors of 12249 and 12257 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 12257

Prime factors of 12257 are 7, 17, 103. Prime factorization of 12257 in exponential form is:

12257 = 7¹ × 17¹ × 103¹

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 12257

List of positive integer factors of 12257 that divides 12249 without a remainder.

1, 7, 17, 103, 119, 721, 1751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12249 and 12257. The biggest common factor number is the GCF number.
So the greatest common factor 12249 and 12257 is 1.

Also check out the Least Common Multiple of 12249 and 12257