Greatest Common Factor of 9381 and 9386

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, 9386 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9381 and 9386 is 1.

GCF(9381,9386) = 1

GCF of 9381 and 9386

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

GCF of:
and

Greatest Common Factor of 9381 and 9386

GCF of 9381 and 9386 is 1

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 9386


2 9386
13 4693
19 361
19 19
1

Prime factors of 9386 are 2,13,19. Prime factorization of 9386 in exponential form is:

9386 = 21×131×192

∴ So by taking common prime factors GCF of 9381 and 9386 is 1

Greatest Common Factor of 9381 and 9386 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 9386

List of positive integer factors of 9386 that divides 9386 without a remainder.

1,2,13,19,26,38,247,361,494,722,4693,9386

Greatest Common Factor

We found the factors and prime factorization of 9381 and 9386. The biggest common factor number is the GCF number.
So the greatest common factor 9381 and 9386 is 1.

Also check out the Least Common Multiple of 9381 and 9386

Properties of GCF 9381 and 9386

(i) The GCF of 9381 and 9386 is associative

GCF of 9381 and 9386 = GCF of 9386 and 9381

Related Greatest Common Factor of 9381

Related Greatest Common Factor of 9386

Frequently Asked Questions on GCF of 9381 and 9386

1. What is the GCF of 9381 and 9386?

Answer: GCF of 9381 and 9386 is 1.

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 9386?

Answer: Factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386. There are 12 integers that are factors of 9386. The greatest factor of 9386 is 9386.

4. How to Find the GCF of 9381 and 9386?

Answer:

Greatest Common Factor of 9381 and 9386 = 1

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9386

9386 = 2 x 13 x 19 x 19

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9381 and 9386 is 1