Greatest Common Factor of 9384 and 9387

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, 9387 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9384 and 9387 is 3.

GCF(9384,9387) = 3

GCF of 9384 and 9387

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

GCF of:
and

Greatest Common Factor of 9384 and 9387

GCF of 9384 and 9387 is 3

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 9387


3 9387
3 3129
7 1043
149 149
1

Prime factors of 9387 are 3,7,149. Prime factorization of 9387 in exponential form is:

9387 = 32×71×1491

∴ So by taking common prime factors GCF of 9384 and 9387 is 3

Greatest Common Factor of 9384 and 9387 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 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1,3,7,9,21,63,149,447,1043,1341,3129,9387

Greatest Common Factor

We found the factors and prime factorization of 9384 and 9387. The biggest common factor number is the GCF number.
So the greatest common factor 9384 and 9387 is 3.

Also check out the Least Common Multiple of 9384 and 9387

Properties of GCF 9384 and 9387

(i) The GCF of 9384 and 9387 is associative

GCF of 9384 and 9387 = GCF of 9387 and 9384

Related Greatest Common Factor of 9384

Related Greatest Common Factor of 9387

Frequently Asked Questions on GCF of 9384 and 9387

1. What is the GCF of 9384 and 9387?

Answer: GCF of 9384 and 9387 is 3.

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 9387?

Answer: Factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387. There are 12 integers that are factors of 9387. The greatest factor of 9387 is 9387.

4. How to Find the GCF of 9384 and 9387?

Answer:

Greatest Common Factor of 9384 and 9387 = 3

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 9387

9387 = 3 x 3 x 7 x 149

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9384 and 9387 is 3