What is the Greatest Common Factor of 28205 and 28223?

Greatest common factor (GCF) of 28205 and 28223 is 1.

GCF(28205,28223) = 1

We will now calculate the prime factors of 28205 and 28223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28205 and 28223.

How to find the GCF of 28205 and 28223?

We will first find the prime factorization of 28205 and 28223. After we will calculate the factors of 28205 and 28223 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 28223

Prime factors of 28223 are 13, 167. Prime factorization of 28223 in exponential form is:

28223 = 13² × 167¹

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 28223

List of positive integer factors of 28223 that divides 28205 without a remainder.

1, 13, 167, 169, 2171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28205 and 28223. The biggest common factor number is the GCF number.
So the greatest common factor 28205 and 28223 is 1.

Also check out the Least Common Multiple of 28205 and 28223