What is the Greatest Common Factor of 12844 and 12857?

Greatest common factor (GCF) of 12844 and 12857 is 13.

GCF(12844,12857) = 13

We will now calculate the prime factors of 12844 and 12857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12844 and 12857.

How to find the GCF of 12844 and 12857?

We will first find the prime factorization of 12844 and 12857. After we will calculate the factors of 12844 and 12857 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 12857

Prime factors of 12857 are 13, 23, 43. Prime factorization of 12857 in exponential form is:

12857 = 13¹ × 23¹ × 43¹

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 12857

List of positive integer factors of 12857 that divides 12844 without a remainder.

1, 13, 23, 43, 299, 559, 989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12844 and 12857. The biggest common factor number is the GCF number.
So the greatest common factor 12844 and 12857 is 13.

Also check out the Least Common Multiple of 12844 and 12857