What is the Greatest Common Factor of 13275 and 13288?

Greatest common factor (GCF) of 13275 and 13288 is 1.

GCF(13275,13288) = 1

We will now calculate the prime factors of 13275 and 13288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13275 and 13288.

How to find the GCF of 13275 and 13288?

We will first find the prime factorization of 13275 and 13288. After we will calculate the factors of 13275 and 13288 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 13288

Prime factors of 13288 are 2, 11, 151. Prime factorization of 13288 in exponential form is:

13288 = 2³ × 11¹ × 151¹

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 13288

List of positive integer factors of 13288 that divides 13275 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 151, 302, 604, 1208, 1661, 3322, 6644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13275 and 13288. The biggest common factor number is the GCF number.
So the greatest common factor 13275 and 13288 is 1.

Also check out the Least Common Multiple of 13275 and 13288