Greatest Common Factor of 9312 and 9320

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 9312, 9320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9312 and 9320 is 8.

GCF(9312,9320) = 8

GCF of 9312 and 9320

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

GCF of:
and

Greatest Common Factor of 9312 and 9320

GCF of 9312 and 9320 is 8

Prime Factorization of 9312


2 9312
2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 9312 are 2,3,97. Prime factorization of 9312 in exponential form is:

9312 = 25×31×971

Prime Factorization of 9320


2 9320
2 4660
2 2330
5 1165
233 233
1

Prime factors of 9320 are 2,5,233. Prime factorization of 9320 in exponential form is:

9320 = 23×51×2331

∴ So by taking common prime factors GCF of 9312 and 9320 is 8

Greatest Common Factor of 9312 and 9320 by matching factors method

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Factors of 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320

Greatest Common Factor

We found the factors and prime factorization of 9312 and 9320. The biggest common factor number is the GCF number.
So the greatest common factor 9312 and 9320 is 8.

Also check out the Least Common Multiple of 9312 and 9320

Properties of GCF 9312 and 9320

(i) The GCF of 9312 and 9320 is associative

GCF of 9312 and 9320 = GCF of 9320 and 9312

Related Greatest Common Factor of 9312

Related Greatest Common Factor of 9320

Frequently Asked Questions on GCF of 9312 and 9320

1. What is the GCF of 9312 and 9320?

Answer: GCF of 9312 and 9320 is 8.

2. What are the Factors of 9312?

Answer: Factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312. There are 24 integers that are factors of 9312. The greatest factor of 9312 is 9312.

3. What are the Factors of 9320?

Answer: Factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320. There are 16 integers that are factors of 9320. The greatest factor of 9320 is 9320.

4. How to Find the GCF of 9312 and 9320?

Answer:

Greatest Common Factor of 9312 and 9320 = 8

Step 1: Find the prime factorization of 9312

9312 = 2 x 2 x 2 x 2 x 2 x 3 x 97

Step 2: Find the prime factorization of 9320

9320 = 2 x 2 x 2 x 5 x 233

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 9312 and 9320 is 8