Greatest Common Factor of 8091 and 8094

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, 8094 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8091 and 8094 is 3.

GCF(8091,8094) = 3

GCF of 8091 and 8094

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

GCF of:
and

Greatest Common Factor of 8091 and 8094

GCF of 8091 and 8094 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 8094


2 8094
3 4047
19 1349
71 71
1

Prime factors of 8094 are 2,3,19,71. Prime factorization of 8094 in exponential form is:

8094 = 21×31×191×711

∴ So by taking common prime factors GCF of 8091 and 8094 is 3

Greatest Common Factor of 8091 and 8094 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 8094

List of positive integer factors of 8094 that divides 8094 without a remainder.

1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094

Greatest Common Factor

We found the factors and prime factorization of 8091 and 8094. The biggest common factor number is the GCF number.
So the greatest common factor 8091 and 8094 is 3.

Also check out the Least Common Multiple of 8091 and 8094

Properties of GCF 8091 and 8094

(i) The GCF of 8091 and 8094 is associative

GCF of 8091 and 8094 = GCF of 8094 and 8091

Related Greatest Common Factor of 8091

Related Greatest Common Factor of 8094

Frequently Asked Questions on GCF of 8091 and 8094

1. What is the GCF of 8091 and 8094?

Answer: GCF of 8091 and 8094 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 8094?

Answer: Factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094. There are 16 integers that are factors of 8094. The greatest factor of 8094 is 8094.

4. How to Find the GCF of 8091 and 8094?

Answer:

Greatest Common Factor of 8091 and 8094 = 3

Step 1: Find the prime factorization of 8091

8091 = 3 x 3 x 29 x 31

Step 2: Find the prime factorization of 8094

8094 = 2 x 3 x 19 x 71

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 8094 is 3