What is the Greatest Common Factor of 2304 and 2313?

Greatest common factor (GCF) of 2304 and 2313 is 9.

GCF(2304,2313) = 9

We will now calculate the prime factors of 2304 and 2313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2304 and 2313.

How to find the GCF of 2304 and 2313?

We will first find the prime factorization of 2304 and 2313. After we will calculate the factors of 2304 and 2313 and find the biggest common factor number .

Step-1: Prime Factorization of 2304

Prime factors of 2304 are 2, 3. Prime factorization of 2304 in exponential form is:

2304 = 2⁸ × 3²

Step-2: Prime Factorization of 2313

Prime factors of 2313 are 3, 257. Prime factorization of 2313 in exponential form is:

2313 = 3² × 257¹

Step-3: Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152

Step-4: Factors of 2313

List of positive integer factors of 2313 that divides 2304 without a remainder.

1, 3, 9, 257, 771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2304 and 2313. The biggest common factor number is the GCF number.
So the greatest common factor 2304 and 2313 is 9.

Also check out the Least Common Multiple of 2304 and 2313