Greatest Common Factor of 9324 and 9328

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 9324, 9328 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9324 and 9328 is 4.

GCF(9324,9328) = 4

GCF of 9324 and 9328

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

GCF of:
and

Greatest Common Factor of 9324 and 9328

GCF of 9324 and 9328 is 4

Prime Factorization of 9324


2 9324
2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 9324 are 2,3,7,37. Prime factorization of 9324 in exponential form is:

9324 = 22×32×71×371

Prime Factorization of 9328


2 9328
2 4664
2 2332
2 1166
11 583
53 53
1

Prime factors of 9328 are 2,11,53. Prime factorization of 9328 in exponential form is:

9328 = 24×111×531

∴ So by taking common prime factors GCF of 9324 and 9328 is 4

Greatest Common Factor of 9324 and 9328 by matching factors method

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors and prime factorization of 9324 and 9328. The biggest common factor number is the GCF number.
So the greatest common factor 9324 and 9328 is 4.

Also check out the Least Common Multiple of 9324 and 9328

Properties of GCF 9324 and 9328

(i) The GCF of 9324 and 9328 is associative

GCF of 9324 and 9328 = GCF of 9328 and 9324

Related Greatest Common Factor of 9324

Related Greatest Common Factor of 9328

Frequently Asked Questions on GCF of 9324 and 9328

1. What is the GCF of 9324 and 9328?

Answer: GCF of 9324 and 9328 is 4.

2. What are the Factors of 9324?

Answer: Factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324. There are 36 integers that are factors of 9324. The greatest factor of 9324 is 9324.

3. What are the Factors of 9328?

Answer: Factors of 9328 are 1, 2, 4, 8, 11, 16, 22, 44, 53, 88, 106, 176, 212, 424, 583, 848, 1166, 2332, 4664, 9328. There are 20 integers that are factors of 9328. The greatest factor of 9328 is 9328.

4. How to Find the GCF of 9324 and 9328?

Answer:

Greatest Common Factor of 9324 and 9328 = 4

Step 1: Find the prime factorization of 9324

9324 = 2 x 2 x 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 9328

9328 = 2 x 2 x 2 x 2 x 11 x 53

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 9324 and 9328 is 4