What is the Greatest Common Factor of 12835 and 12841?

Greatest common factor (GCF) of 12835 and 12841 is 1.

GCF(12835,12841) = 1

We will now calculate the prime factors of 12835 and 12841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12835 and 12841.

How to find the GCF of 12835 and 12841?

We will first find the prime factorization of 12835 and 12841. After we will calculate the factors of 12835 and 12841 and find the biggest common factor number .

Step-1: Prime Factorization of 12835

Prime factors of 12835 are 5, 17, 151. Prime factorization of 12835 in exponential form is:

12835 = 5¹ × 17¹ × 151¹

Step-2: Prime Factorization of 12841

Prime factors of 12841 are 12841. Prime factorization of 12841 in exponential form is:

12841 = 12841¹

Step-3: Factors of 12835

List of positive integer factors of 12835 that divides 12835 without a remainder.

1, 5, 17, 85, 151, 755, 2567

Step-4: Factors of 12841

List of positive integer factors of 12841 that divides 12835 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12835 and 12841. The biggest common factor number is the GCF number.
So the greatest common factor 12835 and 12841 is 1.

Also check out the Least Common Multiple of 12835 and 12841