Greatest Common Factor of 9329 and 9331

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 9329, 9331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9329 and 9331 is 1.

GCF(9329,9331) = 1

GCF of 9329 and 9331

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

GCF of:
and

Greatest Common Factor of 9329 and 9331

GCF of 9329 and 9331 is 1

Prime Factorization of 9329


19 9329
491 491
1

Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:

9329 = 191×4911

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7,31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

∴ So by taking common prime factors GCF of 9329 and 9331 is 1

Greatest Common Factor of 9329 and 9331 by matching factors method

Factors of 9329

List of positive integer factors of 9329 that divides 9329 without a remainder.

1,19,491,9329

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1,7,31,43,217,301,1333,9331

Greatest Common Factor

We found the factors and prime factorization of 9329 and 9331. The biggest common factor number is the GCF number.
So the greatest common factor 9329 and 9331 is 1.

Also check out the Least Common Multiple of 9329 and 9331

Properties of GCF 9329 and 9331

(i) The GCF of 9329 and 9331 is associative

GCF of 9329 and 9331 = GCF of 9331 and 9329

Related Greatest Common Factor of 9329

Related Greatest Common Factor of 9331

Frequently Asked Questions on GCF of 9329 and 9331

1. What is the GCF of 9329 and 9331?

Answer: GCF of 9329 and 9331 is 1.

2. What are the Factors of 9329?

Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.

3. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

4. How to Find the GCF of 9329 and 9331?

Answer:

Greatest Common Factor of 9329 and 9331 = 1

Step 1: Find the prime factorization of 9329

9329 = 19 x 491

Step 2: Find the prime factorization of 9331

9331 = 7 x 31 x 43

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 9329 and 9331 is 1