What is the Greatest Common Factor of 12844 and 12854?

Greatest common factor (GCF) of 12844 and 12854 is 2.

GCF(12844,12854) = 2

We will now calculate the prime factors of 12844 and 12854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12844 and 12854.

How to find the GCF of 12844 and 12854?

We will first find the prime factorization of 12844 and 12854. After we will calculate the factors of 12844 and 12854 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 12854

Prime factors of 12854 are 2, 6427. Prime factorization of 12854 in exponential form is:

12854 = 2¹ × 6427¹

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 12854

List of positive integer factors of 12854 that divides 12844 without a remainder.

1, 2, 6427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12844 and 12854. The biggest common factor number is the GCF number.
So the greatest common factor 12844 and 12854 is 2.

Also check out the Least Common Multiple of 12844 and 12854