What is the Greatest Common Factor of 12874 and 12889?

Greatest common factor (GCF) of 12874 and 12889 is 1.

GCF(12874,12889) = 1

We will now calculate the prime factors of 12874 and 12889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12874 and 12889.

How to find the GCF of 12874 and 12889?

We will first find the prime factorization of 12874 and 12889. After we will calculate the factors of 12874 and 12889 and find the biggest common factor number .

Step-1: Prime Factorization of 12874

Prime factors of 12874 are 2, 41, 157. Prime factorization of 12874 in exponential form is:

12874 = 2¹ × 41¹ × 157¹

Step-2: Prime Factorization of 12889

Prime factors of 12889 are 12889. Prime factorization of 12889 in exponential form is:

12889 = 12889¹

Step-3: Factors of 12874

List of positive integer factors of 12874 that divides 12874 without a remainder.

1, 2, 41, 82, 157, 314, 6437

Step-4: Factors of 12889

List of positive integer factors of 12889 that divides 12874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12874 and 12889. The biggest common factor number is the GCF number.
So the greatest common factor 12874 and 12889 is 1.

Also check out the Least Common Multiple of 12874 and 12889