What is the Greatest Common Factor of 12873 and 12891?

Greatest common factor (GCF) of 12873 and 12891 is 3.

GCF(12873,12891) = 3

We will now calculate the prime factors of 12873 and 12891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12873 and 12891.

How to find the GCF of 12873 and 12891?

We will first find the prime factorization of 12873 and 12891. After we will calculate the factors of 12873 and 12891 and find the biggest common factor number .

Step-1: Prime Factorization of 12873

Prime factors of 12873 are 3, 7, 613. Prime factorization of 12873 in exponential form is:

12873 = 3¹ × 7¹ × 613¹

Step-2: Prime Factorization of 12891

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

12891 = 3¹ × 4297¹

Step-3: Factors of 12873

List of positive integer factors of 12873 that divides 12873 without a remainder.

1, 3, 7, 21, 613, 1839, 4291

Step-4: Factors of 12891

List of positive integer factors of 12891 that divides 12873 without a remainder.

1, 3, 4297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12873 and 12891. The biggest common factor number is the GCF number.
So the greatest common factor 12873 and 12891 is 3.

Also check out the Least Common Multiple of 12873 and 12891