What is the Greatest Common Factor of 12844 and 12863?

Greatest common factor (GCF) of 12844 and 12863 is 19.

GCF(12844,12863) = 19

We will now calculate the prime factors of 12844 and 12863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12844 and 12863.

How to find the GCF of 12844 and 12863?

We will first find the prime factorization of 12844 and 12863. After we will calculate the factors of 12844 and 12863 and find the biggest common factor number .

Step-1: Prime Factorization of 12844

Prime factors of 12844 are 2, 13, 19. Prime factorization of 12844 in exponential form is:

12844 = 2² × 13² × 19¹

Step-2: Prime Factorization of 12863

Prime factors of 12863 are 19, 677. Prime factorization of 12863 in exponential form is:

12863 = 19¹ × 677¹

Step-3: Factors of 12844

List of positive integer factors of 12844 that divides 12844 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 169, 247, 338, 494, 676, 988, 3211, 6422

Step-4: Factors of 12863

List of positive integer factors of 12863 that divides 12844 without a remainder.

1, 19, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12844 and 12863. The biggest common factor number is the GCF number.
So the greatest common factor 12844 and 12863 is 19.

Also check out the Least Common Multiple of 12844 and 12863