What is the Greatest Common Factor of 28275 and 28281?

Greatest common factor (GCF) of 28275 and 28281 is 3.

GCF(28275,28281) = 3

We will now calculate the prime factors of 28275 and 28281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28281.

How to find the GCF of 28275 and 28281?

We will first find the prime factorization of 28275 and 28281. After we will calculate the factors of 28275 and 28281 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 28281

Prime factors of 28281 are 3, 11, 857. Prime factorization of 28281 in exponential form is:

28281 = 3¹ × 11¹ × 857¹

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 28281

List of positive integer factors of 28281 that divides 28275 without a remainder.

1, 3, 11, 33, 857, 2571, 9427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28281. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28281 is 3.

Also check out the Least Common Multiple of 28275 and 28281