What is the Greatest Common Factor of 2250 and 2268?

Greatest common factor (GCF) of 2250 and 2268 is 18.

GCF(2250,2268) = 18

We will now calculate the prime factors of 2250 and 2268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2250 and 2268.

How to find the GCF of 2250 and 2268?

We will first find the prime factorization of 2250 and 2268. After we will calculate the factors of 2250 and 2268 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 2268

Prime factors of 2268 are 2, 3, 7. Prime factorization of 2268 in exponential form is:

2268 = 2² × 3⁴ × 7¹

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 2268

List of positive integer factors of 2268 that divides 2250 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2250 and 2268. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2268 is 18.

Also check out the Least Common Multiple of 2250 and 2268