What is the Greatest Common Factor of 12834 and 12838?

Greatest common factor (GCF) of 12834 and 12838 is 2.

GCF(12834,12838) = 2

We will now calculate the prime factors of 12834 and 12838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12834 and 12838.

How to find the GCF of 12834 and 12838?

We will first find the prime factorization of 12834 and 12838. After we will calculate the factors of 12834 and 12838 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 12838

Prime factors of 12838 are 2, 7, 131. Prime factorization of 12838 in exponential form is:

12838 = 2¹ × 7² × 131¹

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 12838

List of positive integer factors of 12838 that divides 12834 without a remainder.

1, 2, 7, 14, 49, 98, 131, 262, 917, 1834, 6419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12834 and 12838. The biggest common factor number is the GCF number.
So the greatest common factor 12834 and 12838 is 2.

Also check out the Least Common Multiple of 12834 and 12838