What is the Greatest Common Factor of 2250 and 2256?

Greatest common factor (GCF) of 2250 and 2256 is 6.

GCF(2250,2256) = 6

We will now calculate the prime factors of 2250 and 2256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2250 and 2256.

How to find the GCF of 2250 and 2256?

We will first find the prime factorization of 2250 and 2256. After we will calculate the factors of 2250 and 2256 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 2256

Prime factors of 2256 are 2, 3, 47. Prime factorization of 2256 in exponential form is:

2256 = 2⁴ × 3¹ × 47¹

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 2256

List of positive integer factors of 2256 that divides 2250 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2250 and 2256. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2256 is 6.

Also check out the Least Common Multiple of 2250 and 2256