What is the Greatest Common Factor of 13209 and 13226?

Greatest common factor (GCF) of 13209 and 13226 is 17.

GCF(13209,13226) = 17

We will now calculate the prime factors of 13209 and 13226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13209 and 13226.

How to find the GCF of 13209 and 13226?

We will first find the prime factorization of 13209 and 13226. After we will calculate the factors of 13209 and 13226 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 13226

Prime factors of 13226 are 2, 17, 389. Prime factorization of 13226 in exponential form is:

13226 = 2¹ × 17¹ × 389¹

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 13226

List of positive integer factors of 13226 that divides 13209 without a remainder.

1, 2, 17, 34, 389, 778, 6613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13209 and 13226. The biggest common factor number is the GCF number.
So the greatest common factor 13209 and 13226 is 17.

Also check out the Least Common Multiple of 13209 and 13226