Greatest Common Factor of 9384 and 9388

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 9384, 9388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9384 and 9388 is 4.

GCF(9384,9388) = 4

GCF of 9384 and 9388

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

GCF of:
and

Greatest Common Factor of 9384 and 9388

GCF of 9384 and 9388 is 4

Prime Factorization of 9384


2 9384
2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 9384 are 2,3,17,23. Prime factorization of 9384 in exponential form is:

9384 = 23×31×171×231

Prime Factorization of 9388


2 9388
2 4694
2347 2347
1

Prime factors of 9388 are 2,2347. Prime factorization of 9388 in exponential form is:

9388 = 22×23471

∴ So by taking common prime factors GCF of 9384 and 9388 is 4

Greatest Common Factor of 9384 and 9388 by matching factors method

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Factors of 9388

List of positive integer factors of 9388 that divides 9388 without a remainder.

1,2,4,2347,4694,9388

Greatest Common Factor

We found the factors and prime factorization of 9384 and 9388. The biggest common factor number is the GCF number.
So the greatest common factor 9384 and 9388 is 4.

Also check out the Least Common Multiple of 9384 and 9388

Properties of GCF 9384 and 9388

(i) The GCF of 9384 and 9388 is associative

GCF of 9384 and 9388 = GCF of 9388 and 9384

Related Greatest Common Factor of 9384

Related Greatest Common Factor of 9388

Frequently Asked Questions on GCF of 9384 and 9388

1. What is the GCF of 9384 and 9388?

Answer: GCF of 9384 and 9388 is 4.

2. What are the Factors of 9384?

Answer: Factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384. There are 32 integers that are factors of 9384. The greatest factor of 9384 is 9384.

3. What are the Factors of 9388?

Answer: Factors of 9388 are 1, 2, 4, 2347, 4694, 9388. There are 6 integers that are factors of 9388. The greatest factor of 9388 is 9388.

4. How to Find the GCF of 9384 and 9388?

Answer:

Greatest Common Factor of 9384 and 9388 = 4

Step 1: Find the prime factorization of 9384

9384 = 2 x 2 x 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 9388

9388 = 2 x 2 x 2347

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 9384 and 9388 is 4