What is the Greatest Common Factor of 12834 and 12853?

Greatest common factor (GCF) of 12834 and 12853 is 1.

GCF(12834,12853) = 1

We will now calculate the prime factors of 12834 and 12853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12834 and 12853.

How to find the GCF of 12834 and 12853?

We will first find the prime factorization of 12834 and 12853. After we will calculate the factors of 12834 and 12853 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 12853

Prime factors of 12853 are 12853. Prime factorization of 12853 in exponential form is:

12853 = 12853¹

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 12853

List of positive integer factors of 12853 that divides 12834 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12834 and 12853. The biggest common factor number is the GCF number.
So the greatest common factor 12834 and 12853 is 1.

Also check out the Least Common Multiple of 12834 and 12853