Greatest Common Factor of 9371 and 9376

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 9371, 9376 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9371 and 9376 is 1.

GCF(9371,9376) = 1

GCF of 9371 and 9376

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

GCF of:
and

Greatest Common Factor of 9371 and 9376

GCF of 9371 and 9376 is 1

Prime Factorization of 9371


9371 9371
1

Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:

9371 = 93711

Prime Factorization of 9376


2 9376
2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 9376 are 2.Prime factorization of 9376 in exponential form is:

9376 = 25×2931

∴ So by taking common prime factors GCF of 9371 and 9376 is 1

Greatest Common Factor of 9371 and 9376 by matching factors method

Factors of 9371

List of positive integer factors of 9371 that divides 9371 without a remainder.

1,9371

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

Greatest Common Factor

We found the factors and prime factorization of 9371 and 9376. The biggest common factor number is the GCF number.
So the greatest common factor 9371 and 9376 is 1.

Also check out the Least Common Multiple of 9371 and 9376

Properties of GCF 9371 and 9376

(i) The GCF of 9371 and 9376 is associative

GCF of 9371 and 9376 = GCF of 9376 and 9371

Frequently Asked Questions on GCF of 9371 and 9376

1. What is the GCF of 9371 and 9376?

Answer: GCF of 9371 and 9376 is 1.

2. What are the Factors of 9371?

Answer: Factors of 9371 are 1, 9371. There are 2 integers that are factors of 9371. The greatest factor of 9371 is 9371.

3. 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.

4. How to Find the GCF of 9371 and 9376?

Answer:

Greatest Common Factor of 9371 and 9376 = 1

Step 1: Find the prime factorization of 9371

9371 = 9371

Step 2: Find the prime factorization of 9376

9376 = 2 x 2 x 2 x 2 x 2 x 293

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 9371 and 9376 is 1