What is the Greatest Common Factor of 2259 and 2274?

Greatest common factor (GCF) of 2259 and 2274 is 3.

GCF(2259,2274) = 3

We will now calculate the prime factors of 2259 and 2274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2259 and 2274.

How to find the GCF of 2259 and 2274?

We will first find the prime factorization of 2259 and 2274. After we will calculate the factors of 2259 and 2274 and find the biggest common factor number .

Step-1: Prime Factorization of 2259

Prime factors of 2259 are 3, 251. Prime factorization of 2259 in exponential form is:

2259 = 3² × 251¹

Step-2: 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-3: Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1, 3, 9, 251, 753

Step-4: Factors of 2274

List of positive integer factors of 2274 that divides 2259 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2259 and 2274. The biggest common factor number is the GCF number.
So the greatest common factor 2259 and 2274 is 3.

Also check out the Least Common Multiple of 2259 and 2274