What is the Greatest Common Factor of 28215 and 28225?

Greatest common factor (GCF) of 28215 and 28225 is 5.

GCF(28215,28225) = 5

We will now calculate the prime factors of 28215 and 28225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28215 and 28225.

How to find the GCF of 28215 and 28225?

We will first find the prime factorization of 28215 and 28225. After we will calculate the factors of 28215 and 28225 and find the biggest common factor number .

Step-1: Prime Factorization of 28215

Prime factors of 28215 are 3, 5, 11, 19. Prime factorization of 28215 in exponential form is:

28215 = 3³ × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 28225

Prime factors of 28225 are 5, 1129. Prime factorization of 28225 in exponential form is:

28225 = 5² × 1129¹

Step-3: Factors of 28215

List of positive integer factors of 28215 that divides 28215 without a remainder.

1, 3, 5, 9, 11, 15, 19, 27, 33, 45, 55, 57, 95, 99, 135, 165, 171, 209, 285, 297, 495, 513, 627, 855, 1045, 1485, 1881, 2565, 3135, 5643, 9405

Step-4: Factors of 28225

List of positive integer factors of 28225 that divides 28215 without a remainder.

1, 5, 25, 1129, 5645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28215 and 28225. The biggest common factor number is the GCF number.
So the greatest common factor 28215 and 28225 is 5.

Also check out the Least Common Multiple of 28215 and 28225