Greatest Common Factor of 9376 and 9381

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, 9381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9376 and 9381 is 1.

GCF(9376,9381) = 1

GCF of 9376 and 9381

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

GCF of:
and

Greatest Common Factor of 9376 and 9381

GCF of 9376 and 9381 is 1

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 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

∴ So by taking common prime factors GCF of 9376 and 9381 is 1

Greatest Common Factor of 9376 and 9381 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 9381

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

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

Greatest Common Factor

We found the factors and prime factorization of 9376 and 9381. The biggest common factor number is the GCF number.
So the greatest common factor 9376 and 9381 is 1.

Also check out the Least Common Multiple of 9376 and 9381

Properties of GCF 9376 and 9381

(i) The GCF of 9376 and 9381 is associative

GCF of 9376 and 9381 = GCF of 9381 and 9376

Related Greatest Common Factor of 9376

Related Greatest Common Factor of 9381

Frequently Asked Questions on GCF of 9376 and 9381

1. What is the GCF of 9376 and 9381?

Answer: GCF of 9376 and 9381 is 1.

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 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.

4. How to Find the GCF of 9376 and 9381?

Answer:

Greatest Common Factor of 9376 and 9381 = 1

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 9381

9381 = 3 x 53 x 59

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 9376 and 9381 is 1