Greatest Common Factor of 2312 and 2320

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 2312, 2320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2312 and 2320 is 8.

GCF(2312,2320) = 8

GCF of 2312 and 2320

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

GCF of:
and

Greatest Common Factor of 2312 and 2320

GCF of 2312 and 2320 is 8

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

Prime Factorization of 2320


2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 2320 are 2,5,29. Prime factorization of 2320 in exponential form is:

2320 = 24×51×291

∴ So by taking common prime factors GCF of 2312 and 2320 is 8

Greatest Common Factor of 2312 and 2320 by matching factors method

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

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors and prime factorization of 2312 and 2320. The biggest common factor number is the GCF number.
So the greatest common factor 2312 and 2320 is 8.

Also check out the Least Common Multiple of 2312 and 2320

Properties of GCF 2312 and 2320

(i) The GCF of 2312 and 2320 is associative

GCF of 2312 and 2320 = GCF of 2320 and 2312

Related Greatest Common Factor of 2312

Related Greatest Common Factor of 2320

Frequently Asked Questions on GCF of 2312 and 2320

1. What is the GCF of 2312 and 2320?

Answer: GCF of 2312 and 2320 is 8.

2. 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.

3. What are the Factors of 2320?

Answer: Factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320. There are 20 integers that are factors of 2320. The greatest factor of 2320 is 2320.

4. How to Find the GCF of 2312 and 2320?

Answer:

Greatest Common Factor of 2312 and 2320 = 8

Step 1: Find the prime factorization of 2312

2312 = 2 x 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 2320

2320 = 2 x 2 x 2 x 2 x 5 x 29

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 2312 and 2320 is 8