What is the Greatest Common Factor of 2244 and 2251?

Greatest common factor (GCF) of 2244 and 2251 is 1.

GCF(2244,2251) = 1

We will now calculate the prime factors of 2244 and 2251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2244 and 2251.

How to find the GCF of 2244 and 2251?

We will first find the prime factorization of 2244 and 2251. After we will calculate the factors of 2244 and 2251 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 2251

Prime factors of 2251 are 2251. Prime factorization of 2251 in exponential form is:

2251 = 2251¹

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 2251

List of positive integer factors of 2251 that divides 2244 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2244 and 2251. The biggest common factor number is the GCF number.
So the greatest common factor 2244 and 2251 is 1.

Also check out the Least Common Multiple of 2244 and 2251