Greatest Common Factor of 2304 and 2310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2304, 2310 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2304 and 2310 is 6.

GCF(2304,2310) = 6

GCF of 2304 and 2310

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2304 and 2310

GCF of 2304 and 2310 is 6

Prime Factorization of 2304


2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

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

2304 = 28×32

Prime Factorization of 2310


2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 2310 are 2,3,5,7,11. Prime factorization of 2310 in exponential form is:

2310 = 21×31×51×71×111

∴ So by taking common prime factors GCF of 2304 and 2310 is 6

Greatest Common Factor of 2304 and 2310 by matching factors method

Factors of 2304

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

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors and prime factorization of 2304 and 2310. The biggest common factor number is the GCF number.
So the greatest common factor 2304 and 2310 is 6.

Also check out the Least Common Multiple of 2304 and 2310

Properties of GCF 2304 and 2310

(i) The GCF of 2304 and 2310 is associative

GCF of 2304 and 2310 = GCF of 2310 and 2304

Related Greatest Common Factor of 2304

Related Greatest Common Factor of 2310

Frequently Asked Questions on GCF of 2304 and 2310

1. What is the GCF of 2304 and 2310?

Answer: GCF of 2304 and 2310 is 6.

2. What are the Factors of 2304?

Answer: Factors of 2304 are 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, 2304. There are 27 integers that are factors of 2304. The greatest factor of 2304 is 2304.

3. What are the Factors of 2310?

Answer: Factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310. There are 32 integers that are factors of 2310. The greatest factor of 2310 is 2310.

4. How to Find the GCF of 2304 and 2310?

Answer:

Greatest Common Factor of 2304 and 2310 = 6

Step 1: Find the prime factorization of 2304

2304 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 2310

2310 = 2 x 3 x 5 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2304 and 2310 is 6