What is the Greatest Common Factor of 13299 and 13305?

Greatest common factor (GCF) of 13299 and 13305 is 3.

GCF(13299,13305) = 3

We will now calculate the prime factors of 13299 and 13305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13299 and 13305.

How to find the GCF of 13299 and 13305?

We will first find the prime factorization of 13299 and 13305. After we will calculate the factors of 13299 and 13305 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 13305

Prime factors of 13305 are 3, 5, 887. Prime factorization of 13305 in exponential form is:

13305 = 3¹ × 5¹ × 887¹

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 13305

List of positive integer factors of 13305 that divides 13299 without a remainder.

1, 3, 5, 15, 887, 2661, 4435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13299 and 13305. The biggest common factor number is the GCF number.
So the greatest common factor 13299 and 13305 is 3.

Also check out the Least Common Multiple of 13299 and 13305