What is the Greatest Common Factor of 2250 and 2255?

Greatest common factor (GCF) of 2250 and 2255 is 5.

GCF(2250,2255) = 5

We will now calculate the prime factors of 2250 and 2255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2250 and 2255.

How to find the GCF of 2250 and 2255?

We will first find the prime factorization of 2250 and 2255. After we will calculate the factors of 2250 and 2255 and find the biggest common factor number .

Step-1: Prime Factorization of 2250

Prime factors of 2250 are 2, 3, 5. Prime factorization of 2250 in exponential form is:

2250 = 2¹ × 3² × 5³

Step-2: Prime Factorization of 2255

Prime factors of 2255 are 5, 11, 41. Prime factorization of 2255 in exponential form is:

2255 = 5¹ × 11¹ × 41¹

Step-3: Factors of 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125

Step-4: Factors of 2255

List of positive integer factors of 2255 that divides 2250 without a remainder.

1, 5, 11, 41, 55, 205, 451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2250 and 2255. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2255 is 5.

Also check out the Least Common Multiple of 2250 and 2255