Greatest Common Factor of 6897 and 6903

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, 6903 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6897 and 6903 is 3.

GCF(6897,6903) = 3

GCF of 6897 and 6903

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

GCF of:
and

Greatest Common Factor of 6897 and 6903

GCF of 6897 and 6903 is 3

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 6903


3 6903
3 2301
13 767
59 59
1

Prime factors of 6903 are 3,13,59. Prime factorization of 6903 in exponential form is:

6903 = 32×131×591

∴ So by taking common prime factors GCF of 6897 and 6903 is 3

Greatest Common Factor of 6897 and 6903 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 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1,3,9,13,39,59,117,177,531,767,2301,6903

Greatest Common Factor

We found the factors and prime factorization of 6897 and 6903. The biggest common factor number is the GCF number.
So the greatest common factor 6897 and 6903 is 3.

Also check out the Least Common Multiple of 6897 and 6903

Properties of GCF 6897 and 6903

(i) The GCF of 6897 and 6903 is associative

GCF of 6897 and 6903 = GCF of 6903 and 6897

Related Greatest Common Factor of 6897

Related Greatest Common Factor of 6903

Frequently Asked Questions on GCF of 6897 and 6903

1. What is the GCF of 6897 and 6903?

Answer: GCF of 6897 and 6903 is 3.

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 6903?

Answer: Factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903. There are 12 integers that are factors of 6903. The greatest factor of 6903 is 6903.

4. How to Find the GCF of 6897 and 6903?

Answer:

Greatest Common Factor of 6897 and 6903 = 3

Step 1: Find the prime factorization of 6897

6897 = 3 x 11 x 11 x 19

Step 2: Find the prime factorization of 6903

6903 = 3 x 3 x 13 x 59

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 6897 and 6903 is 3