What is the Greatest Common Factor of 13269 and 13287?

Greatest common factor (GCF) of 13269 and 13287 is 3.

GCF(13269,13287) = 3

We will now calculate the prime factors of 13269 and 13287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13269 and 13287.

How to find the GCF of 13269 and 13287?

We will first find the prime factorization of 13269 and 13287. After we will calculate the factors of 13269 and 13287 and find the biggest common factor number .

Step-1: Prime Factorization of 13269

Prime factors of 13269 are 3, 4423. Prime factorization of 13269 in exponential form is:

13269 = 3¹ × 4423¹

Step-2: Prime Factorization of 13287

Prime factors of 13287 are 3, 43, 103. Prime factorization of 13287 in exponential form is:

13287 = 3¹ × 43¹ × 103¹

Step-3: Factors of 13269

List of positive integer factors of 13269 that divides 13269 without a remainder.

1, 3, 4423

Step-4: Factors of 13287

List of positive integer factors of 13287 that divides 13269 without a remainder.

1, 3, 43, 103, 129, 309, 4429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13269 and 13287. The biggest common factor number is the GCF number.
So the greatest common factor 13269 and 13287 is 3.

Also check out the Least Common Multiple of 13269 and 13287