What is the Greatest Common Factor of 13100 and 13108?

Greatest common factor (GCF) of 13100 and 13108 is 4.

GCF(13100,13108) = 4

We will now calculate the prime factors of 13100 and 13108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13100 and 13108.

How to find the GCF of 13100 and 13108?

We will first find the prime factorization of 13100 and 13108. After we will calculate the factors of 13100 and 13108 and find the biggest common factor number .

Step-1: Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 2² × 5² × 131¹

Step-2: 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-3: Factors of 13100

List of positive integer factors of 13100 that divides 13100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550

Step-4: Factors of 13108

List of positive integer factors of 13108 that divides 13100 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13100 and 13108. The biggest common factor number is the GCF number.
So the greatest common factor 13100 and 13108 is 4.

Also check out the Least Common Multiple of 13100 and 13108