What is the Greatest Common Factor of 13100 and 13115?

Greatest common factor (GCF) of 13100 and 13115 is 5.

GCF(13100,13115) = 5

We will now calculate the prime factors of 13100 and 13115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13100 and 13115.

How to find the GCF of 13100 and 13115?

We will first find the prime factorization of 13100 and 13115. After we will calculate the factors of 13100 and 13115 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 13115

Prime factors of 13115 are 5, 43, 61. Prime factorization of 13115 in exponential form is:

13115 = 5¹ × 43¹ × 61¹

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 13115

List of positive integer factors of 13115 that divides 13100 without a remainder.

1, 5, 43, 61, 215, 305, 2623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13100 and 13115. The biggest common factor number is the GCF number.
So the greatest common factor 13100 and 13115 is 5.

Also check out the Least Common Multiple of 13100 and 13115