What is the Greatest Common Factor of 13281 and 13287?

Greatest common factor (GCF) of 13281 and 13287 is 3.

GCF(13281,13287) = 3

We will now calculate the prime factors of 13281 and 13287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13281 and 13287.

How to find the GCF of 13281 and 13287?

We will first find the prime factorization of 13281 and 13287. After we will calculate the factors of 13281 and 13287 and find the biggest common factor number .

Step-1: Prime Factorization of 13281

Prime factors of 13281 are 3, 19, 233. Prime factorization of 13281 in exponential form is:

13281 = 3¹ × 19¹ × 233¹

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 13281

List of positive integer factors of 13281 that divides 13281 without a remainder.

1, 3, 19, 57, 233, 699, 4427

Step-4: Factors of 13287

List of positive integer factors of 13287 that divides 13281 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13281 and 13287. The biggest common factor number is the GCF number.
So the greatest common factor 13281 and 13287 is 3.

Also check out the Least Common Multiple of 13281 and 13287