What is the Greatest Common Factor of 13205 and 13225?

Greatest common factor (GCF) of 13205 and 13225 is 5.

GCF(13205,13225) = 5

We will now calculate the prime factors of 13205 and 13225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13205 and 13225.

How to find the GCF of 13205 and 13225?

We will first find the prime factorization of 13205 and 13225. After we will calculate the factors of 13205 and 13225 and find the biggest common factor number .

Step-1: Prime Factorization of 13205

Prime factors of 13205 are 5, 19, 139. Prime factorization of 13205 in exponential form is:

13205 = 5¹ × 19¹ × 139¹

Step-2: Prime Factorization of 13225

Prime factors of 13225 are 5, 23. Prime factorization of 13225 in exponential form is:

13225 = 5² × 23²

Step-3: Factors of 13205

List of positive integer factors of 13205 that divides 13205 without a remainder.

1, 5, 19, 95, 139, 695, 2641

Step-4: Factors of 13225

List of positive integer factors of 13225 that divides 13205 without a remainder.

1, 5, 23, 25, 115, 529, 575, 2645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13205 and 13225. The biggest common factor number is the GCF number.
So the greatest common factor 13205 and 13225 is 5.

Also check out the Least Common Multiple of 13205 and 13225