Greatest Common Factor of 8091 and 8097

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 8091, 8097 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8091 and 8097 is 3.

GCF(8091,8097) = 3

GCF of 8091 and 8097

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

GCF of:
and

Greatest Common Factor of 8091 and 8097

GCF of 8091 and 8097 is 3

Prime Factorization of 8091


3 8091
3 2697
29 899
31 31
1

Prime factors of 8091 are 3,29,31. Prime factorization of 8091 in exponential form is:

8091 = 32×291×311

Prime Factorization of 8097


3 8097
2699 2699
1

Prime factors of 8097 are 3,2699. Prime factorization of 8097 in exponential form is:

8097 = 31×26991

∴ So by taking common prime factors GCF of 8091 and 8097 is 3

Greatest Common Factor of 8091 and 8097 by matching factors method

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Factors of 8097

List of positive integer factors of 8097 that divides 8097 without a remainder.

1,3,2699,8097

Greatest Common Factor

We found the factors and prime factorization of 8091 and 8097. The biggest common factor number is the GCF number.
So the greatest common factor 8091 and 8097 is 3.

Also check out the Least Common Multiple of 8091 and 8097

Properties of GCF 8091 and 8097

(i) The GCF of 8091 and 8097 is associative

GCF of 8091 and 8097 = GCF of 8097 and 8091

Related Greatest Common Factor of 8091

Related Greatest Common Factor of 8097

Frequently Asked Questions on GCF of 8091 and 8097

1. What is the GCF of 8091 and 8097?

Answer: GCF of 8091 and 8097 is 3.

2. What are the Factors of 8091?

Answer: Factors of 8091 are 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091. There are 12 integers that are factors of 8091. The greatest factor of 8091 is 8091.

3. What are the Factors of 8097?

Answer: Factors of 8097 are 1, 3, 2699, 8097. There are 4 integers that are factors of 8097. The greatest factor of 8097 is 8097.

4. How to Find the GCF of 8091 and 8097?

Answer:

Greatest Common Factor of 8091 and 8097 = 3

Step 1: Find the prime factorization of 8091

8091 = 3 x 3 x 29 x 31

Step 2: Find the prime factorization of 8097

8097 = 3 x 2699

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 8091 and 8097 is 3