Greatest Common Factor of 10323 and 10331

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 10323, 10331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10323 and 10331 is 1.

GCF(10323,10331) = 1

GCF of 10323 and 10331

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

GCF of:
and

Greatest Common Factor of 10323 and 10331

GCF of 10323 and 10331 is 1

Prime Factorization of 10323


3 10323
3 3441
31 1147
37 37
1

Prime factors of 10323 are 3,31,37. Prime factorization of 10323 in exponential form is:

10323 = 32×311×371

Prime Factorization of 10331


10331 10331
1

Prime factors of 10331 are 10331. Prime factorization of 10331 in exponential form is:

10331 = 103311

∴ So by taking common prime factors GCF of 10323 and 10331 is 1

Greatest Common Factor of 10323 and 10331 by matching factors method

Factors of 10323

List of positive integer factors of 10323 that divides 10323 without a remainder.

1,3,9,31,37,93,111,279,333,1147,3441,10323

Factors of 10331

List of positive integer factors of 10331 that divides 10331 without a remainder.

1,10331

Greatest Common Factor

We found the factors and prime factorization of 10323 and 10331. The biggest common factor number is the GCF number.
So the greatest common factor 10323 and 10331 is 1.

Also check out the Least Common Multiple of 10323 and 10331

Properties of GCF 10323 and 10331

(i) The GCF of 10323 and 10331 is associative

GCF of 10323 and 10331 = GCF of 10331 and 10323

Related Greatest Common Factor of 10323

Related Greatest Common Factor of 10331

Frequently Asked Questions on GCF of 10323 and 10331

1. What is the GCF of 10323 and 10331?

Answer: GCF of 10323 and 10331 is 1.

2. What are the Factors of 10323?

Answer: Factors of 10323 are 1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323. There are 12 integers that are factors of 10323. The greatest factor of 10323 is 10323.

3. What are the Factors of 10331?

Answer: Factors of 10331 are 1, 10331. There are 2 integers that are factors of 10331. The greatest factor of 10331 is 10331.

4. How to Find the GCF of 10323 and 10331?

Answer:

Greatest Common Factor of 10323 and 10331 = 1

Step 1: Find the prime factorization of 10323

10323 = 3 x 3 x 31 x 37

Step 2: Find the prime factorization of 10331

10331 = 10331

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 10323 and 10331 is 1