Greatest Common Factor of 9320 and 9324

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 9320, 9324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9320 and 9324 is 4.

GCF(9320,9324) = 4

GCF of 9320 and 9324

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

GCF of:
and

Greatest Common Factor of 9320 and 9324

GCF of 9320 and 9324 is 4

Prime Factorization of 9320


2 9320
2 4660
2 2330
5 1165
233 233
1

Prime factors of 9320 are 2,5,233. Prime factorization of 9320 in exponential form is:

9320 = 23×51×2331

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

∴ So by taking common prime factors GCF of 9320 and 9324 is 4

Greatest Common Factor of 9320 and 9324 by matching factors method

Factors of 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320

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

Greatest Common Factor

We found the factors and prime factorization of 9320 and 9324. The biggest common factor number is the GCF number.
So the greatest common factor 9320 and 9324 is 4.

Also check out the Least Common Multiple of 9320 and 9324

Properties of GCF 9320 and 9324

(i) The GCF of 9320 and 9324 is associative

GCF of 9320 and 9324 = GCF of 9324 and 9320

Related Greatest Common Factor of 9320

Related Greatest Common Factor of 9324

Frequently Asked Questions on GCF of 9320 and 9324

1. What is the GCF of 9320 and 9324?

Answer: GCF of 9320 and 9324 is 4.

2. What are the Factors of 9320?

Answer: Factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320. There are 16 integers that are factors of 9320. The greatest factor of 9320 is 9320.

3. 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.

4. How to Find the GCF of 9320 and 9324?

Answer:

Greatest Common Factor of 9320 and 9324 = 4

Step 1: Find the prime factorization of 9320

9320 = 2 x 2 x 2 x 5 x 233

Step 2: Find the prime factorization of 9324

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

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 9320 and 9324 is 4