Greatest Common Factor of 2304 and 2312

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, 2312 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2304 and 2312 is 8.

GCF(2304,2312) = 8

GCF of 2304 and 2312

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

GCF of:
and

Greatest Common Factor of 2304 and 2312

GCF of 2304 and 2312 is 8

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 2312


2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 2312 are 2,17. Prime factorization of 2312 in exponential form is:

2312 = 23×172

∴ So by taking common prime factors GCF of 2304 and 2312 is 8

Greatest Common Factor of 2304 and 2312 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 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors and prime factorization of 2304 and 2312. The biggest common factor number is the GCF number.
So the greatest common factor 2304 and 2312 is 8.

Also check out the Least Common Multiple of 2304 and 2312

Properties of GCF 2304 and 2312

(i) The GCF of 2304 and 2312 is associative

GCF of 2304 and 2312 = GCF of 2312 and 2304

Related Greatest Common Factor of 2304

Related Greatest Common Factor of 2312

Frequently Asked Questions on GCF of 2304 and 2312

1. What is the GCF of 2304 and 2312?

Answer: GCF of 2304 and 2312 is 8.

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 2312?

Answer: Factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312. There are 12 integers that are factors of 2312. The greatest factor of 2312 is 2312.

4. How to Find the GCF of 2304 and 2312?

Answer:

Greatest Common Factor of 2304 and 2312 = 8

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 2312

2312 = 2 x 2 x 2 x 17 x 17

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2304 and 2312 is 8