Greatest Common Factor of 8329 and 8331

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 8329, 8331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8329 and 8331 is 1.

GCF(8329,8331) = 1

GCF of 8329 and 8331

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

GCF of:
and

Greatest Common Factor of 8329 and 8331

GCF of 8329 and 8331 is 1

Prime Factorization of 8329


8329 8329
1

Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:

8329 = 83291

Prime Factorization of 8331


3 8331
2777 2777
1

Prime factors of 8331 are 3.Prime factorization of 8331 in exponential form is:

8331 = 31×27771

∴ So by taking common prime factors GCF of 8329 and 8331 is 1

Greatest Common Factor of 8329 and 8331 by matching factors method

Factors of 8329

List of positive integer factors of 8329 that divides 8329 without a remainder.

1,8329

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Greatest Common Factor

We found the factors and prime factorization of 8329 and 8331. The biggest common factor number is the GCF number.
So the greatest common factor 8329 and 8331 is 1.

Also check out the Least Common Multiple of 8329 and 8331

Properties of GCF 8329 and 8331

(i) The GCF of 8329 and 8331 is associative

GCF of 8329 and 8331 = GCF of 8331 and 8329

Frequently Asked Questions on GCF of 8329 and 8331

1. What is the GCF of 8329 and 8331?

Answer: GCF of 8329 and 8331 is 1.

2. What are the Factors of 8329?

Answer: Factors of 8329 are 1, 8329. There are 2 integers that are factors of 8329. The greatest factor of 8329 is 8329.

3. What are the Factors of 8331?

Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.

4. How to Find the GCF of 8329 and 8331?

Answer:

Greatest Common Factor of 8329 and 8331 = 1

Step 1: Find the prime factorization of 8329

8329 = 8329

Step 2: Find the prime factorization of 8331

8331 = 3 x 2777

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 8329 and 8331 is 1