What is the Greatest Common Factor of 13108 and 13126?

Greatest common factor (GCF) of 13108 and 13126 is 2.

GCF(13108,13126) = 2

We will now calculate the prime factors of 13108 and 13126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13108 and 13126.

How to find the GCF of 13108 and 13126?

We will first find the prime factorization of 13108 and 13126. After we will calculate the factors of 13108 and 13126 and find the biggest common factor number .

Step-1: Prime Factorization of 13108

Prime factors of 13108 are 2, 29, 113. Prime factorization of 13108 in exponential form is:

13108 = 2² × 29¹ × 113¹

Step-2: Prime Factorization of 13126

Prime factors of 13126 are 2, 6563. Prime factorization of 13126 in exponential form is:

13126 = 2¹ × 6563¹

Step-3: Factors of 13108

List of positive integer factors of 13108 that divides 13108 without a remainder.

1, 2, 4, 29, 58, 113, 116, 226, 452, 3277, 6554

Step-4: Factors of 13126

List of positive integer factors of 13126 that divides 13108 without a remainder.

1, 2, 6563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13108 and 13126. The biggest common factor number is the GCF number.
So the greatest common factor 13108 and 13126 is 2.

Also check out the Least Common Multiple of 13108 and 13126