What is the Greatest Common Factor of 28275 and 28295?

Greatest common factor (GCF) of 28275 and 28295 is 5.

GCF(28275,28295) = 5

We will now calculate the prime factors of 28275 and 28295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28295.

How to find the GCF of 28275 and 28295?

We will first find the prime factorization of 28275 and 28295. After we will calculate the factors of 28275 and 28295 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 28295

Prime factors of 28295 are 5, 5659. Prime factorization of 28295 in exponential form is:

28295 = 5¹ × 5659¹

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 28295

List of positive integer factors of 28295 that divides 28275 without a remainder.

1, 5, 5659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28295. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28295 is 5.

Also check out the Least Common Multiple of 28275 and 28295