What is the Greatest Common Factor of 28275 and 28283?

Greatest common factor (GCF) of 28275 and 28283 is 1.

GCF(28275,28283) = 1

We will now calculate the prime factors of 28275 and 28283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28283.

How to find the GCF of 28275 and 28283?

We will first find the prime factorization of 28275 and 28283. After we will calculate the factors of 28275 and 28283 and find the biggest common factor number .

Step-1: Prime Factorization of 28275

Prime factors of 28275 are 3, 5, 13, 29. Prime factorization of 28275 in exponential form is:

28275 = 3¹ × 5² × 13¹ × 29¹

Step-2: Prime Factorization of 28283

Prime factors of 28283 are 28283. Prime factorization of 28283 in exponential form is:

28283 = 28283¹

Step-3: Factors of 28275

List of positive integer factors of 28275 that divides 28275 without a remainder.

1, 3, 5, 13, 15, 25, 29, 39, 65, 75, 87, 145, 195, 325, 377, 435, 725, 975, 1131, 1885, 2175, 5655, 9425

Step-4: Factors of 28283

List of positive integer factors of 28283 that divides 28275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28283. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28283 is 1.

Also check out the Least Common Multiple of 28275 and 28283