What is the Greatest Common Factor of 13275 and 13292?

Greatest common factor (GCF) of 13275 and 13292 is 1.

GCF(13275,13292) = 1

We will now calculate the prime factors of 13275 and 13292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13275 and 13292.

How to find the GCF of 13275 and 13292?

We will first find the prime factorization of 13275 and 13292. After we will calculate the factors of 13275 and 13292 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 13292

Prime factors of 13292 are 2, 3323. Prime factorization of 13292 in exponential form is:

13292 = 2² × 3323¹

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 13292

List of positive integer factors of 13292 that divides 13275 without a remainder.

1, 2, 4, 3323, 6646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13275 and 13292. The biggest common factor number is the GCF number.
So the greatest common factor 13275 and 13292 is 1.

Also check out the Least Common Multiple of 13275 and 13292