What is the Greatest Common Factor of 28375 and 28395?

Greatest common factor (GCF) of 28375 and 28395 is 5.

GCF(28375,28395) = 5

We will now calculate the prime factors of 28375 and 28395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28375 and 28395.

How to find the GCF of 28375 and 28395?

We will first find the prime factorization of 28375 and 28395. After we will calculate the factors of 28375 and 28395 and find the biggest common factor number .

Step-1: Prime Factorization of 28375

Prime factors of 28375 are 5, 227. Prime factorization of 28375 in exponential form is:

28375 = 5³ × 227¹

Step-2: Prime Factorization of 28395

Prime factors of 28395 are 3, 5, 631. Prime factorization of 28395 in exponential form is:

28395 = 3² × 5¹ × 631¹

Step-3: Factors of 28375

List of positive integer factors of 28375 that divides 28375 without a remainder.

1, 5, 25, 125, 227, 1135, 5675

Step-4: Factors of 28395

List of positive integer factors of 28395 that divides 28375 without a remainder.

1, 3, 5, 9, 15, 45, 631, 1893, 3155, 5679, 9465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28375 and 28395. The biggest common factor number is the GCF number.
So the greatest common factor 28375 and 28395 is 5.

Also check out the Least Common Multiple of 28375 and 28395