Greatest Common Factor of 8331 and 8339

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 8331, 8339 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8331 and 8339 is 1.

GCF(8331,8339) = 1

GCF of 8331 and 8339

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

GCF of:
and

Greatest Common Factor of 8331 and 8339

GCF of 8331 and 8339 is 1

Prime Factorization of 8331


3 8331
2777 2777
1

Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:

8331 = 31×27771

Prime Factorization of 8339


31 8339
269 269
1

Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:

8339 = 311×2691

∴ So by taking common prime factors GCF of 8331 and 8339 is 1

Greatest Common Factor of 8331 and 8339 by matching factors method

Factors of 8331

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

1,3,2777,8331

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1,31,269,8339

Greatest Common Factor

We found the factors and prime factorization of 8331 and 8339. The biggest common factor number is the GCF number.
So the greatest common factor 8331 and 8339 is 1.

Also check out the Least Common Multiple of 8331 and 8339

Properties of GCF 8331 and 8339

(i) The GCF of 8331 and 8339 is associative

GCF of 8331 and 8339 = GCF of 8339 and 8331

Frequently Asked Questions on GCF of 8331 and 8339

1. What is the GCF of 8331 and 8339?

Answer: GCF of 8331 and 8339 is 1.

2. 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.

3. What are the Factors of 8339?

Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.

4. How to Find the GCF of 8331 and 8339?

Answer:

Greatest Common Factor of 8331 and 8339 = 1

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8339

8339 = 31 x 269

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 8331 and 8339 is 1