What is the Greatest Common Factor of 13209 and 13225?

Greatest common factor (GCF) of 13209 and 13225 is 1.

GCF(13209,13225) = 1

We will now calculate the prime factors of 13209 and 13225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13209 and 13225.

How to find the GCF of 13209 and 13225?

We will first find the prime factorization of 13209 and 13225. After we will calculate the factors of 13209 and 13225 and find the biggest common factor number .

Step-1: Prime Factorization of 13209

Prime factors of 13209 are 3, 7, 17, 37. Prime factorization of 13209 in exponential form is:

13209 = 3¹ × 7¹ × 17¹ × 37¹

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 13209

List of positive integer factors of 13209 that divides 13209 without a remainder.

1, 3, 7, 17, 21, 37, 51, 111, 119, 259, 357, 629, 777, 1887, 4403

Step-4: Factors of 13225

List of positive integer factors of 13225 that divides 13209 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 13209 and 13225. The biggest common factor number is the GCF number.
So the greatest common factor 13209 and 13225 is 1.

Also check out the Least Common Multiple of 13209 and 13225