Greatest Common Factor of 9288 and 9292

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, 9292 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9288 and 9292 is 4.

GCF(9288,9292) = 4

GCF of 9288 and 9292

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

GCF of:
and

Greatest Common Factor of 9288 and 9292

GCF of 9288 and 9292 is 4

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 9292


2 9292
2 4646
23 2323
101 101
1

Prime factors of 9292 are 2,23,101. Prime factorization of 9292 in exponential form is:

9292 = 22×231×1011

∴ So by taking common prime factors GCF of 9288 and 9292 is 4

Greatest Common Factor of 9288 and 9292 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 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1,2,4,23,46,92,101,202,404,2323,4646,9292

Greatest Common Factor

We found the factors and prime factorization of 9288 and 9292. The biggest common factor number is the GCF number.
So the greatest common factor 9288 and 9292 is 4.

Also check out the Least Common Multiple of 9288 and 9292

Properties of GCF 9288 and 9292

(i) The GCF of 9288 and 9292 is associative

GCF of 9288 and 9292 = GCF of 9292 and 9288

Related Greatest Common Factor of 9288

Related Greatest Common Factor of 9292

Frequently Asked Questions on GCF of 9288 and 9292

1. What is the GCF of 9288 and 9292?

Answer: GCF of 9288 and 9292 is 4.

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 9292?

Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.

4. How to Find the GCF of 9288 and 9292?

Answer:

Greatest Common Factor of 9288 and 9292 = 4

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 9292

9292 = 2 x 2 x 23 x 101

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9288 and 9292 is 4