What is the Greatest Common Factor of 2274 and 2284?

Greatest common factor (GCF) of 2274 and 2284 is 2.

GCF(2274,2284) = 2

We will now calculate the prime factors of 2274 and 2284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2274 and 2284.

How to find the GCF of 2274 and 2284?

We will first find the prime factorization of 2274 and 2284. After we will calculate the factors of 2274 and 2284 and find the biggest common factor number .

Step-1: Prime Factorization of 2274

Prime factors of 2274 are 2, 3, 379. Prime factorization of 2274 in exponential form is:

2274 = 2¹ × 3¹ × 379¹

Step-2: Prime Factorization of 2284

Prime factors of 2284 are 2, 571. Prime factorization of 2284 in exponential form is:

2284 = 2² × 571¹

Step-3: Factors of 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1, 2, 3, 6, 379, 758, 1137

Step-4: Factors of 2284

List of positive integer factors of 2284 that divides 2274 without a remainder.

1, 2, 4, 571, 1142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2274 and 2284. The biggest common factor number is the GCF number.
So the greatest common factor 2274 and 2284 is 2.

Also check out the Least Common Multiple of 2274 and 2284