What is the Greatest Common Factor of 12891 and 12909?

Greatest common factor (GCF) of 12891 and 12909 is 3.

GCF(12891,12909) = 3

We will now calculate the prime factors of 12891 and 12909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12891 and 12909.

How to find the GCF of 12891 and 12909?

We will first find the prime factorization of 12891 and 12909. After we will calculate the factors of 12891 and 12909 and find the biggest common factor number .

Step-1: Prime Factorization of 12891

Prime factors of 12891 are 3, 4297. Prime factorization of 12891 in exponential form is:

12891 = 3¹ × 4297¹

Step-2: Prime Factorization of 12909

Prime factors of 12909 are 3, 13, 331. Prime factorization of 12909 in exponential form is:

12909 = 3¹ × 13¹ × 331¹

Step-3: Factors of 12891

List of positive integer factors of 12891 that divides 12891 without a remainder.

1, 3, 4297

Step-4: Factors of 12909

List of positive integer factors of 12909 that divides 12891 without a remainder.

1, 3, 13, 39, 331, 993, 4303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12891 and 12909. The biggest common factor number is the GCF number.
So the greatest common factor 12891 and 12909 is 3.

Also check out the Least Common Multiple of 12891 and 12909