What is the Greatest Common Factor of 12886 and 12903?

Greatest common factor (GCF) of 12886 and 12903 is 17.

GCF(12886,12903) = 17

We will now calculate the prime factors of 12886 and 12903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12886 and 12903.

How to find the GCF of 12886 and 12903?

We will first find the prime factorization of 12886 and 12903. After we will calculate the factors of 12886 and 12903 and find the biggest common factor number .

Step-1: Prime Factorization of 12886

Prime factors of 12886 are 2, 17, 379. Prime factorization of 12886 in exponential form is:

12886 = 2¹ × 17¹ × 379¹

Step-2: Prime Factorization of 12903

Prime factors of 12903 are 3, 11, 17, 23. Prime factorization of 12903 in exponential form is:

12903 = 3¹ × 11¹ × 17¹ × 23¹

Step-3: Factors of 12886

List of positive integer factors of 12886 that divides 12886 without a remainder.

1, 2, 17, 34, 379, 758, 6443

Step-4: Factors of 12903

List of positive integer factors of 12903 that divides 12886 without a remainder.

1, 3, 11, 17, 23, 33, 51, 69, 187, 253, 391, 561, 759, 1173, 4301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12886 and 12903. The biggest common factor number is the GCF number.
So the greatest common factor 12886 and 12903 is 17.

Also check out the Least Common Multiple of 12886 and 12903