Greatest Common Factor of 9387 and 9394

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 9387, 9394 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9387 and 9394 is 7.

GCF(9387,9394) = 7

GCF of 9387 and 9394

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

GCF of:
and

Greatest Common Factor of 9387 and 9394

GCF of 9387 and 9394 is 7

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

Prime Factorization of 9394


2 9394
7 4697
11 671
61 61
1

Prime factors of 9394 are 2,7,11,61. Prime factorization of 9394 in exponential form is:

9394 = 21×71×111×611

∴ So by taking common prime factors GCF of 9387 and 9394 is 7

Greatest Common Factor of 9387 and 9394 by matching factors method

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

Factors of 9394

List of positive integer factors of 9394 that divides 9394 without a remainder.

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Greatest Common Factor

We found the factors and prime factorization of 9387 and 9394. The biggest common factor number is the GCF number.
So the greatest common factor 9387 and 9394 is 7.

Also check out the Least Common Multiple of 9387 and 9394

Properties of GCF 9387 and 9394

(i) The GCF of 9387 and 9394 is associative

GCF of 9387 and 9394 = GCF of 9394 and 9387

Related Greatest Common Factor of 9387

Related Greatest Common Factor of 9394

Frequently Asked Questions on GCF of 9387 and 9394

1. What is the GCF of 9387 and 9394?

Answer: GCF of 9387 and 9394 is 7.

2. 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.

3. What are the Factors of 9394?

Answer: Factors of 9394 are 1, 2, 7, 11, 14, 22, 61, 77, 122, 154, 427, 671, 854, 1342, 4697, 9394. There are 16 integers that are factors of 9394. The greatest factor of 9394 is 9394.

4. How to Find the GCF of 9387 and 9394?

Answer:

Greatest Common Factor of 9387 and 9394 = 7

Step 1: Find the prime factorization of 9387

9387 = 3 x 3 x 7 x 149

Step 2: Find the prime factorization of 9394

9394 = 2 x 7 x 11 x 61

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9387 and 9394 is 7