Greatest Common Factor of 9312 and 9315

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, 9315 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9312 and 9315 is 3.

GCF(9312,9315) = 3

GCF of 9312 and 9315

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

GCF of:
and

Greatest Common Factor of 9312 and 9315

GCF of 9312 and 9315 is 3

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 9315


3 9315
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 9315 are 3,5,23. Prime factorization of 9315 in exponential form is:

9315 = 34×51×231

∴ So by taking common prime factors GCF of 9312 and 9315 is 3

Greatest Common Factor of 9312 and 9315 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 9315

List of positive integer factors of 9315 that divides 9315 without a remainder.

1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315

Greatest Common Factor

We found the factors and prime factorization of 9312 and 9315. The biggest common factor number is the GCF number.
So the greatest common factor 9312 and 9315 is 3.

Also check out the Least Common Multiple of 9312 and 9315

Properties of GCF 9312 and 9315

(i) The GCF of 9312 and 9315 is associative

GCF of 9312 and 9315 = GCF of 9315 and 9312

Related Greatest Common Factor of 9312

Related Greatest Common Factor of 9315

Frequently Asked Questions on GCF of 9312 and 9315

1. What is the GCF of 9312 and 9315?

Answer: GCF of 9312 and 9315 is 3.

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 9315?

Answer: Factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315. There are 20 integers that are factors of 9315. The greatest factor of 9315 is 9315.

4. How to Find the GCF of 9312 and 9315?

Answer:

Greatest Common Factor of 9312 and 9315 = 3

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 9315

9315 = 3 x 3 x 3 x 3 x 5 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9312 and 9315 is 3