Greatest Common Factor of 8097 and 8103

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 8097, 8103 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8097 and 8103 is 3.

GCF(8097,8103) = 3

GCF of 8097 and 8103

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

GCF of:
and

Greatest Common Factor of 8097 and 8103

GCF of 8097 and 8103 is 3

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

Prime Factorization of 8103


3 8103
37 2701
73 73
1

Prime factors of 8103 are 3,37,73. Prime factorization of 8103 in exponential form is:

8103 = 31×371×731

∴ So by taking common prime factors GCF of 8097 and 8103 is 3

Greatest Common Factor of 8097 and 8103 by matching factors method

Factors of 8097

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

1,3,2699,8097

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Greatest Common Factor

We found the factors and prime factorization of 8097 and 8103. The biggest common factor number is the GCF number.
So the greatest common factor 8097 and 8103 is 3.

Also check out the Least Common Multiple of 8097 and 8103

Properties of GCF 8097 and 8103

(i) The GCF of 8097 and 8103 is associative

GCF of 8097 and 8103 = GCF of 8103 and 8097

Related Greatest Common Factor of 8097

Related Greatest Common Factor of 8103

Frequently Asked Questions on GCF of 8097 and 8103

1. What is the GCF of 8097 and 8103?

Answer: GCF of 8097 and 8103 is 3.

2. 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.

3. What are the Factors of 8103?

Answer: Factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103. There are 8 integers that are factors of 8103. The greatest factor of 8103 is 8103.

4. How to Find the GCF of 8097 and 8103?

Answer:

Greatest Common Factor of 8097 and 8103 = 3

Step 1: Find the prime factorization of 8097

8097 = 3 x 2699

Step 2: Find the prime factorization of 8103

8103 = 3 x 37 x 73

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 8097 and 8103 is 3