Greatest Common Factor of 9376 and 9384

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 9376, 9384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9376 and 9384 is 8.

GCF(9376,9384) = 8

GCF of 9376 and 9384

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

GCF of:
and

Greatest Common Factor of 9376 and 9384

GCF of 9376 and 9384 is 8

Prime Factorization of 9376


2 9376
2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 9376 are 2,293. Prime factorization of 9376 in exponential form is:

9376 = 25×2931

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

∴ So by taking common prime factors GCF of 9376 and 9384 is 8

Greatest Common Factor of 9376 and 9384 by matching factors method

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1,2,4,8,16,32,293,586,1172,2344,4688,9376

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

Greatest Common Factor

We found the factors and prime factorization of 9376 and 9384. The biggest common factor number is the GCF number.
So the greatest common factor 9376 and 9384 is 8.

Also check out the Least Common Multiple of 9376 and 9384

Properties of GCF 9376 and 9384

(i) The GCF of 9376 and 9384 is associative

GCF of 9376 and 9384 = GCF of 9384 and 9376

Related Greatest Common Factor of 9376

Related Greatest Common Factor of 9384

Frequently Asked Questions on GCF of 9376 and 9384

1. What is the GCF of 9376 and 9384?

Answer: GCF of 9376 and 9384 is 8.

2. What are the Factors of 9376?

Answer: Factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376. There are 12 integers that are factors of 9376. The greatest factor of 9376 is 9376.

3. 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.

4. How to Find the GCF of 9376 and 9384?

Answer:

Greatest Common Factor of 9376 and 9384 = 8

Step 1: Find the prime factorization of 9376

9376 = 2 x 2 x 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 9384

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9376 and 9384 is 8