Greatest Common Factor of 9315 and 9318

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 9315, 9318 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9315 and 9318 is 3.

GCF(9315,9318) = 3

GCF of 9315 and 9318

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

GCF of:
and

Greatest Common Factor of 9315 and 9318

GCF of 9315 and 9318 is 3

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

Prime Factorization of 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2,3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

∴ So by taking common prime factors GCF of 9315 and 9318 is 3

Greatest Common Factor of 9315 and 9318 by matching factors method

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

Factors of 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1,2,3,6,1553,3106,4659,9318

Greatest Common Factor

We found the factors and prime factorization of 9315 and 9318. The biggest common factor number is the GCF number.
So the greatest common factor 9315 and 9318 is 3.

Also check out the Least Common Multiple of 9315 and 9318

Properties of GCF 9315 and 9318

(i) The GCF of 9315 and 9318 is associative

GCF of 9315 and 9318 = GCF of 9318 and 9315

Related Greatest Common Factor of 9315

Related Greatest Common Factor of 9318

Frequently Asked Questions on GCF of 9315 and 9318

1. What is the GCF of 9315 and 9318?

Answer: GCF of 9315 and 9318 is 3.

2. 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.

3. What are the Factors of 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

4. How to Find the GCF of 9315 and 9318?

Answer:

Greatest Common Factor of 9315 and 9318 = 3

Step 1: Find the prime factorization of 9315

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

Step 2: Find the prime factorization of 9318

9318 = 2 x 3 x 1553

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 9315 and 9318 is 3