What is the Greatest Common Factor of 2265 and 2284?

Greatest common factor (GCF) of 2265 and 2284 is 1.

GCF(2265,2284) = 1

We will now calculate the prime factors of 2265 and 2284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2265 and 2284.

How to find the GCF of 2265 and 2284?

We will first find the prime factorization of 2265 and 2284. After we will calculate the factors of 2265 and 2284 and find the biggest common factor number .

Step-1: Prime Factorization of 2265

Prime factors of 2265 are 3, 5, 151. Prime factorization of 2265 in exponential form is:

2265 = 3¹ × 5¹ × 151¹

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 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1, 3, 5, 15, 151, 453, 755

Step-4: Factors of 2284

List of positive integer factors of 2284 that divides 2265 without a remainder.

1, 2, 4, 571, 1142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2265 and 2284. The biggest common factor number is the GCF number.
So the greatest common factor 2265 and 2284 is 1.

Also check out the Least Common Multiple of 2265 and 2284