Greatest Common Factor of 6897 and 6899

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 6897, 6899 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6897 and 6899 is 1.

GCF(6897,6899) = 1

GCF of 6897 and 6899

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

GCF of:
and

Greatest Common Factor of 6897 and 6899

GCF of 6897 and 6899 is 1

Prime Factorization of 6897


3 6897
11 2299
11 209
19 19
1

Prime factors of 6897 are 3,11,19. Prime factorization of 6897 in exponential form is:

6897 = 31×112×191

Prime Factorization of 6899


6899 6899
1

Prime factors of 6899 are 6899. Prime factorization of 6899 in exponential form is:

6899 = 68991

∴ So by taking common prime factors GCF of 6897 and 6899 is 1

Greatest Common Factor of 6897 and 6899 by matching factors method

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Factors of 6899

List of positive integer factors of 6899 that divides 6899 without a remainder.

1,6899

Greatest Common Factor

We found the factors and prime factorization of 6897 and 6899. The biggest common factor number is the GCF number.
So the greatest common factor 6897 and 6899 is 1.

Also check out the Least Common Multiple of 6897 and 6899

Properties of GCF 6897 and 6899

(i) The GCF of 6897 and 6899 is associative

GCF of 6897 and 6899 = GCF of 6899 and 6897

Frequently Asked Questions on GCF of 6897 and 6899

1. What is the GCF of 6897 and 6899?

Answer: GCF of 6897 and 6899 is 1.

2. What are the Factors of 6897?

Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.

3. What are the Factors of 6899?

Answer: Factors of 6899 are 1, 6899. There are 2 integers that are factors of 6899. The greatest factor of 6899 is 6899.

4. How to Find the GCF of 6897 and 6899?

Answer:

Greatest Common Factor of 6897 and 6899 = 1

Step 1: Find the prime factorization of 6897

6897 = 3 x 11 x 11 x 19

Step 2: Find the prime factorization of 6899

6899 = 6899

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6897 and 6899 is 1