Greatest Common Factor of 8328 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 8328, 8331 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8328 and 8331 is 3.

GCF(8328,8331) = 3

GCF of 8328 and 8331

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

GCF of:
and

Greatest Common Factor of 8328 and 8331

GCF of 8328 and 8331 is 3

Prime Factorization of 8328


2 8328
2 4164
2 2082
3 1041
347 347
1

Prime factors of 8328 are 2,3,347. Prime factorization of 8328 in exponential form is:

8328 = 23×31×3471

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

∴ So by taking common prime factors GCF of 8328 and 8331 is 3

Greatest Common Factor of 8328 and 8331 by matching factors method

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1,2,3,4,6,8,12,24,347,694,1041,1388,2082,2776,4164,8328

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 8328 and 8331. The biggest common factor number is the GCF number.
So the greatest common factor 8328 and 8331 is 3.

Also check out the Least Common Multiple of 8328 and 8331

Properties of GCF 8328 and 8331

(i) The GCF of 8328 and 8331 is associative

GCF of 8328 and 8331 = GCF of 8331 and 8328

Related Greatest Common Factor of 8328

Related Greatest Common Factor of 8331

Frequently Asked Questions on GCF of 8328 and 8331

1. What is the GCF of 8328 and 8331?

Answer: GCF of 8328 and 8331 is 3.

2. What are the Factors of 8328?

Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.

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 8328 and 8331?

Answer:

Greatest Common Factor of 8328 and 8331 = 3

Step 1: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

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 = 3

Step 4: Therefore, the greatest common factor of 8328 and 8331 is 3