Greatest Common Factor of 8397 and 8403

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 8397, 8403 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8397 and 8403 is 3.

GCF(8397,8403) = 3

GCF of 8397 and 8403

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

GCF of:
and

Greatest Common Factor of 8397 and 8403

GCF of 8397 and 8403 is 3

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

Prime Factorization of 8403


3 8403
2801 2801
1

Prime factors of 8403 are 3,2801. Prime factorization of 8403 in exponential form is:

8403 = 31×28011

∴ So by taking common prime factors GCF of 8397 and 8403 is 3

Greatest Common Factor of 8397 and 8403 by matching factors method

Factors of 8397

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

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

Factors of 8403

List of positive integer factors of 8403 that divides 8403 without a remainder.

1,3,2801,8403

Greatest Common Factor

We found the factors and prime factorization of 8397 and 8403. The biggest common factor number is the GCF number.
So the greatest common factor 8397 and 8403 is 3.

Also check out the Least Common Multiple of 8397 and 8403

Properties of GCF 8397 and 8403

(i) The GCF of 8397 and 8403 is associative

GCF of 8397 and 8403 = GCF of 8403 and 8397

Related Greatest Common Factor of 8397

Related Greatest Common Factor of 8403

Frequently Asked Questions on GCF of 8397 and 8403

1. What is the GCF of 8397 and 8403?

Answer: GCF of 8397 and 8403 is 3.

2. 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.

3. What are the Factors of 8403?

Answer: Factors of 8403 are 1, 3, 2801, 8403. There are 4 integers that are factors of 8403. The greatest factor of 8403 is 8403.

4. How to Find the GCF of 8397 and 8403?

Answer:

Greatest Common Factor of 8397 and 8403 = 3

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

Step 2: Find the prime factorization of 8403

8403 = 3 x 2801

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 8397 and 8403 is 3