What is the Greatest Common Factor of 28225 and 28230?

Greatest common factor (GCF) of 28225 and 28230 is 5.

GCF(28225,28230) = 5

We will now calculate the prime factors of 28225 and 28230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28225 and 28230.

How to find the GCF of 28225 and 28230?

We will first find the prime factorization of 28225 and 28230. After we will calculate the factors of 28225 and 28230 and find the biggest common factor number .

Step-1: Prime Factorization of 28225

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

28225 = 5² × 1129¹

Step-2: Prime Factorization of 28230

Prime factors of 28230 are 2, 3, 5, 941. Prime factorization of 28230 in exponential form is:

28230 = 2¹ × 3¹ × 5¹ × 941¹

Step-3: Factors of 28225

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

1, 5, 25, 1129, 5645

Step-4: Factors of 28230

List of positive integer factors of 28230 that divides 28225 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 941, 1882, 2823, 4705, 5646, 9410, 14115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28225 and 28230. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28230 is 5.

Also check out the Least Common Multiple of 28225 and 28230