What is the Greatest Common Factor of 13275 and 13281?

Greatest common factor (GCF) of 13275 and 13281 is 3.

GCF(13275,13281) = 3

We will now calculate the prime factors of 13275 and 13281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13275 and 13281.

How to find the GCF of 13275 and 13281?

We will first find the prime factorization of 13275 and 13281. After we will calculate the factors of 13275 and 13281 and find the biggest common factor number .

Step-1: Prime Factorization of 13275

Prime factors of 13275 are 3, 5, 59. Prime factorization of 13275 in exponential form is:

13275 = 3² × 5² × 59¹

Step-2: 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-3: Factors of 13275

List of positive integer factors of 13275 that divides 13275 without a remainder.

1, 3, 5, 9, 15, 25, 45, 59, 75, 177, 225, 295, 531, 885, 1475, 2655, 4425

Step-4: Factors of 13281

List of positive integer factors of 13281 that divides 13275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13275 and 13281. The biggest common factor number is the GCF number.
So the greatest common factor 13275 and 13281 is 3.

Also check out the Least Common Multiple of 13275 and 13281