What is the Greatest Common Factor of 28355 and 28375?

Greatest common factor (GCF) of 28355 and 28375 is 5.

GCF(28355,28375) = 5

We will now calculate the prime factors of 28355 and 28375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28355 and 28375.

How to find the GCF of 28355 and 28375?

We will first find the prime factorization of 28355 and 28375. After we will calculate the factors of 28355 and 28375 and find the biggest common factor number .

Step-1: Prime Factorization of 28355

Prime factors of 28355 are 5, 53, 107. Prime factorization of 28355 in exponential form is:

28355 = 5¹ × 53¹ × 107¹

Step-2: Prime Factorization of 28375

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

28375 = 5³ × 227¹

Step-3: Factors of 28355

List of positive integer factors of 28355 that divides 28355 without a remainder.

1, 5, 53, 107, 265, 535, 5671

Step-4: Factors of 28375

List of positive integer factors of 28375 that divides 28355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28355 and 28375. The biggest common factor number is the GCF number.
So the greatest common factor 28355 and 28375 is 5.

Also check out the Least Common Multiple of 28355 and 28375