Greatest Common Factor of 8391 and 8397

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 8391, 8397 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8391 and 8397 is 3.

GCF(8391,8397) = 3

GCF of 8391 and 8397

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

GCF of:
and

Greatest Common Factor of 8391 and 8397

GCF of 8391 and 8397 is 3

Prime Factorization of 8391


3 8391
2797 2797
1

Prime factors of 8391 are 3,2797. Prime factorization of 8391 in exponential form is:

8391 = 31×27971

Prime Factorization of 8397


3 8397
3 2799
3 933
311 311
1

Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:

8397 = 33×3111

∴ So by taking common prime factors GCF of 8391 and 8397 is 3

Greatest Common Factor of 8391 and 8397 by matching factors method

Factors of 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1,3,2797,8391

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1,3,9,27,311,933,2799,8397

Greatest Common Factor

We found the factors and prime factorization of 8391 and 8397. The biggest common factor number is the GCF number.
So the greatest common factor 8391 and 8397 is 3.

Also check out the Least Common Multiple of 8391 and 8397

Properties of GCF 8391 and 8397

(i) The GCF of 8391 and 8397 is associative

GCF of 8391 and 8397 = GCF of 8397 and 8391

Related Greatest Common Factor of 8391

Related Greatest Common Factor of 8397

Frequently Asked Questions on GCF of 8391 and 8397

1. What is the GCF of 8391 and 8397?

Answer: GCF of 8391 and 8397 is 3.

2. What are the Factors of 8391?

Answer: Factors of 8391 are 1, 3, 2797, 8391. There are 4 integers that are factors of 8391. The greatest factor of 8391 is 8391.

3. What are the Factors of 8397?

Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.

4. How to Find the GCF of 8391 and 8397?

Answer:

Greatest Common Factor of 8391 and 8397 = 3

Step 1: Find the prime factorization of 8391

8391 = 3 x 2797

Step 2: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

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 8391 and 8397 is 3