What is the Greatest Common Factor of 28205 and 28225?

Greatest common factor (GCF) of 28205 and 28225 is 5.

GCF(28205,28225) = 5

We will now calculate the prime factors of 28205 and 28225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28205 and 28225.

How to find the GCF of 28205 and 28225?

We will first find the prime factorization of 28205 and 28225. After we will calculate the factors of 28205 and 28225 and find the biggest common factor number .

Step-1: Prime Factorization of 28205

Prime factors of 28205 are 5, 5641. Prime factorization of 28205 in exponential form is:

28205 = 5¹ × 5641¹

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 28205

List of positive integer factors of 28205 that divides 28205 without a remainder.

1, 5, 5641

Step-4: Factors of 28225

List of positive integer factors of 28225 that divides 28205 without a remainder.

1, 5, 25, 1129, 5645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28205 and 28225. The biggest common factor number is the GCF number.
So the greatest common factor 28205 and 28225 is 5.

Also check out the Least Common Multiple of 28205 and 28225