What is the Greatest Common Factor of 13299 and 13306?

Greatest common factor (GCF) of 13299 and 13306 is 1.

GCF(13299,13306) = 1

We will now calculate the prime factors of 13299 and 13306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13299 and 13306.

How to find the GCF of 13299 and 13306?

We will first find the prime factorization of 13299 and 13306. After we will calculate the factors of 13299 and 13306 and find the biggest common factor number .

Step-1: Prime Factorization of 13299

Prime factors of 13299 are 3, 11, 13, 31. Prime factorization of 13299 in exponential form is:

13299 = 3¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 13306

Prime factors of 13306 are 2, 6653. Prime factorization of 13306 in exponential form is:

13306 = 2¹ × 6653¹

Step-3: Factors of 13299

List of positive integer factors of 13299 that divides 13299 without a remainder.

1, 3, 11, 13, 31, 33, 39, 93, 143, 341, 403, 429, 1023, 1209, 4433

Step-4: Factors of 13306

List of positive integer factors of 13306 that divides 13299 without a remainder.

1, 2, 6653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13299 and 13306. The biggest common factor number is the GCF number.
So the greatest common factor 13299 and 13306 is 1.

Also check out the Least Common Multiple of 13299 and 13306