What is the Greatest Common Factor of 28275 and 28290?

Greatest common factor (GCF) of 28275 and 28290 is 15.

GCF(28275,28290) = 15

We will now calculate the prime factors of 28275 and 28290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28290.

How to find the GCF of 28275 and 28290?

We will first find the prime factorization of 28275 and 28290. After we will calculate the factors of 28275 and 28290 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 28290

Prime factors of 28290 are 2, 3, 5, 23, 41. Prime factorization of 28290 in exponential form is:

28290 = 2¹ × 3¹ × 5¹ × 23¹ × 41¹

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 28290

List of positive integer factors of 28290 that divides 28275 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 41, 46, 69, 82, 115, 123, 138, 205, 230, 246, 345, 410, 615, 690, 943, 1230, 1886, 2829, 4715, 5658, 9430, 14145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28290. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28290 is 15.

Also check out the Least Common Multiple of 28275 and 28290