What is the Greatest Common Factor of 12259 and 12267?

Greatest common factor (GCF) of 12259 and 12267 is 1.

GCF(12259,12267) = 1

We will now calculate the prime factors of 12259 and 12267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12259 and 12267.

How to find the GCF of 12259 and 12267?

We will first find the prime factorization of 12259 and 12267. After we will calculate the factors of 12259 and 12267 and find the biggest common factor number .

Step-1: Prime Factorization of 12259

Prime factors of 12259 are 13, 23, 41. Prime factorization of 12259 in exponential form is:

12259 = 13¹ × 23¹ × 41¹

Step-2: Prime Factorization of 12267

Prime factors of 12267 are 3, 29, 47. Prime factorization of 12267 in exponential form is:

12267 = 3² × 29¹ × 47¹

Step-3: Factors of 12259

List of positive integer factors of 12259 that divides 12259 without a remainder.

1, 13, 23, 41, 299, 533, 943

Step-4: Factors of 12267

List of positive integer factors of 12267 that divides 12259 without a remainder.

1, 3, 9, 29, 47, 87, 141, 261, 423, 1363, 4089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12259 and 12267. The biggest common factor number is the GCF number.
So the greatest common factor 12259 and 12267 is 1.

Also check out the Least Common Multiple of 12259 and 12267