What is the Greatest Common Factor of 12834 and 12844?

Greatest common factor (GCF) of 12834 and 12844 is 2.

GCF(12834,12844) = 2

We will now calculate the prime factors of 12834 and 12844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12834 and 12844.

How to find the GCF of 12834 and 12844?

We will first find the prime factorization of 12834 and 12844. After we will calculate the factors of 12834 and 12844 and find the biggest common factor number .

Step-1: Prime Factorization of 12834

Prime factors of 12834 are 2, 3, 23, 31. Prime factorization of 12834 in exponential form is:

12834 = 2¹ × 3² × 23¹ × 31¹

Step-2: 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-3: Factors of 12834

List of positive integer factors of 12834 that divides 12834 without a remainder.

1, 2, 3, 6, 9, 18, 23, 31, 46, 62, 69, 93, 138, 186, 207, 279, 414, 558, 713, 1426, 2139, 4278, 6417

Step-4: Factors of 12844

List of positive integer factors of 12844 that divides 12834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12834 and 12844. The biggest common factor number is the GCF number.
So the greatest common factor 12834 and 12844 is 2.

Also check out the Least Common Multiple of 12834 and 12844