What is the Greatest Common Factor of 28208 and 28225?

Greatest common factor (GCF) of 28208 and 28225 is 1.

GCF(28208,28225) = 1

We will now calculate the prime factors of 28208 and 28225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28208 and 28225.

How to find the GCF of 28208 and 28225?

We will first find the prime factorization of 28208 and 28225. After we will calculate the factors of 28208 and 28225 and find the biggest common factor number .

Step-1: Prime Factorization of 28208

Prime factors of 28208 are 2, 41, 43. Prime factorization of 28208 in exponential form is:

28208 = 2⁴ × 41¹ × 43¹

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 28208

List of positive integer factors of 28208 that divides 28208 without a remainder.

1, 2, 4, 8, 16, 41, 43, 82, 86, 164, 172, 328, 344, 656, 688, 1763, 3526, 7052, 14104

Step-4: Factors of 28225

List of positive integer factors of 28225 that divides 28208 without a remainder.

1, 5, 25, 1129, 5645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28208 and 28225. The biggest common factor number is the GCF number.
So the greatest common factor 28208 and 28225 is 1.

Also check out the Least Common Multiple of 28208 and 28225