What is the Greatest Common Factor of 28225 and 28238?

Greatest common factor (GCF) of 28225 and 28238 is 1.

GCF(28225,28238) = 1

We will now calculate the prime factors of 28225 and 28238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28225 and 28238.

How to find the GCF of 28225 and 28238?

We will first find the prime factorization of 28225 and 28238. After we will calculate the factors of 28225 and 28238 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 28238

Prime factors of 28238 are 2, 7, 2017. Prime factorization of 28238 in exponential form is:

28238 = 2¹ × 7¹ × 2017¹

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 28238

List of positive integer factors of 28238 that divides 28225 without a remainder.

1, 2, 7, 14, 2017, 4034, 14119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28225 and 28238. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28238 is 1.

Also check out the Least Common Multiple of 28225 and 28238