Greatest Common Factor of 9381 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 9381, 9387 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9381 and 9387 is 3.

GCF(9381,9387) = 3

GCF of 9381 and 9387

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

GCF of:
and

Greatest Common Factor of 9381 and 9387

GCF of 9381 and 9387 is 3

Prime Factorization of 9381


3 9381
53 3127
59 59
1

Prime factors of 9381 are 3,53,59. Prime factorization of 9381 in exponential form is:

9381 = 31×531×591

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 9381 and 9387 is 3

Greatest Common Factor of 9381 and 9387 by matching factors method

Factors of 9381

List of positive integer factors of 9381 that divides 9381 without a remainder.

1,3,53,59,159,177,3127,9381

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 9381 and 9387. The biggest common factor number is the GCF number.
So the greatest common factor 9381 and 9387 is 3.

Also check out the Least Common Multiple of 9381 and 9387

Properties of GCF 9381 and 9387

(i) The GCF of 9381 and 9387 is associative

GCF of 9381 and 9387 = GCF of 9387 and 9381

Related Greatest Common Factor of 9381

Related Greatest Common Factor of 9387

Frequently Asked Questions on GCF of 9381 and 9387

1. What is the GCF of 9381 and 9387?

Answer: GCF of 9381 and 9387 is 3.

2. What are the Factors of 9381?

Answer: Factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381. There are 8 integers that are factors of 9381. The greatest factor of 9381 is 9381.

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 9381 and 9387?

Answer:

Greatest Common Factor of 9381 and 9387 = 3

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

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 9381 and 9387 is 3