Greatest Common Factor of 9288 and 9291

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 9288, 9291 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9288 and 9291 is 3.

GCF(9288,9291) = 3

GCF of 9288 and 9291

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

GCF of:
and

Greatest Common Factor of 9288 and 9291

GCF of 9288 and 9291 is 3

Prime Factorization of 9288


2 9288
2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 9288 are 2,3,43. Prime factorization of 9288 in exponential form is:

9288 = 23×33×431

Prime Factorization of 9291


3 9291
19 3097
163 163
1

Prime factors of 9291 are 3,19,163. Prime factorization of 9291 in exponential form is:

9291 = 31×191×1631

∴ So by taking common prime factors GCF of 9288 and 9291 is 3

Greatest Common Factor of 9288 and 9291 by matching factors method

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Factors of 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1,3,19,57,163,489,3097,9291

Greatest Common Factor

We found the factors and prime factorization of 9288 and 9291. The biggest common factor number is the GCF number.
So the greatest common factor 9288 and 9291 is 3.

Also check out the Least Common Multiple of 9288 and 9291

Properties of GCF 9288 and 9291

(i) The GCF of 9288 and 9291 is associative

GCF of 9288 and 9291 = GCF of 9291 and 9288

Related Greatest Common Factor of 9288

Related Greatest Common Factor of 9291

Frequently Asked Questions on GCF of 9288 and 9291

1. What is the GCF of 9288 and 9291?

Answer: GCF of 9288 and 9291 is 3.

2. What are the Factors of 9288?

Answer: Factors of 9288 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288. There are 32 integers that are factors of 9288. The greatest factor of 9288 is 9288.

3. What are the Factors of 9291?

Answer: Factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291. There are 8 integers that are factors of 9291. The greatest factor of 9291 is 9291.

4. How to Find the GCF of 9288 and 9291?

Answer:

Greatest Common Factor of 9288 and 9291 = 3

Step 1: Find the prime factorization of 9288

9288 = 2 x 2 x 2 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 9291

9291 = 3 x 19 x 163

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 9288 and 9291 is 3