Greatest Common Factor of 9288 and 9290

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, 9290 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9288 and 9290 is 2.

GCF(9288,9290) = 2

GCF of 9288 and 9290

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

GCF of:
and

Greatest Common Factor of 9288 and 9290

GCF of 9288 and 9290 is 2

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 9290


2 9290
5 4645
929 929
1

Prime factors of 9290 are 2,5,929. Prime factorization of 9290 in exponential form is:

9290 = 21×51×9291

∴ So by taking common prime factors GCF of 9288 and 9290 is 2

Greatest Common Factor of 9288 and 9290 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 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

Greatest Common Factor

We found the factors and prime factorization of 9288 and 9290. The biggest common factor number is the GCF number.
So the greatest common factor 9288 and 9290 is 2.

Also check out the Least Common Multiple of 9288 and 9290

Properties of GCF 9288 and 9290

(i) The GCF of 9288 and 9290 is associative

GCF of 9288 and 9290 = GCF of 9290 and 9288

Related Greatest Common Factor of 9288

Related Greatest Common Factor of 9290

Frequently Asked Questions on GCF of 9288 and 9290

1. What is the GCF of 9288 and 9290?

Answer: GCF of 9288 and 9290 is 2.

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 9290?

Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.

4. How to Find the GCF of 9288 and 9290?

Answer:

Greatest Common Factor of 9288 and 9290 = 2

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 9290

9290 = 2 x 5 x 929

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9288 and 9290 is 2