What is the Greatest Common Factor of 2244 and 2255?

Greatest common factor (GCF) of 2244 and 2255 is 11.

GCF(2244,2255) = 11

We will now calculate the prime factors of 2244 and 2255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2244 and 2255.

How to find the GCF of 2244 and 2255?

We will first find the prime factorization of 2244 and 2255. After we will calculate the factors of 2244 and 2255 and find the biggest common factor number .

Step-1: Prime Factorization of 2244

Prime factors of 2244 are 2, 3, 11, 17. Prime factorization of 2244 in exponential form is:

2244 = 2² × 3¹ × 11¹ × 17¹

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 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122

Step-4: Factors of 2255

List of positive integer factors of 2255 that divides 2244 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2244 and 2255. The biggest common factor number is the GCF number.
So the greatest common factor 2244 and 2255 is 11.

Also check out the Least Common Multiple of 2244 and 2255