Greatest Common Factor of 6555 and 6561

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 6555, 6561 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6555 and 6561 is 3.

GCF(6555,6561) = 3

GCF of 6555 and 6561

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

GCF of:
and

Greatest Common Factor of 6555 and 6561

GCF of 6555 and 6561 is 3

Prime Factorization of 6555


3 6555
5 2185
19 437
23 23
1

Prime factors of 6555 are 3,5,19,23. Prime factorization of 6555 in exponential form is:

6555 = 31×51×191×231

Prime Factorization of 6561


3 6561
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 6561 are 3. Prime factorization of 6561 in exponential form is:

6561 = 38

∴ So by taking common prime factors GCF of 6555 and 6561 is 3

Greatest Common Factor of 6555 and 6561 by matching factors method

Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Factors of 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1,3,9,27,81,243,729,2187,6561

Greatest Common Factor

We found the factors and prime factorization of 6555 and 6561. The biggest common factor number is the GCF number.
So the greatest common factor 6555 and 6561 is 3.

Also check out the Least Common Multiple of 6555 and 6561

Properties of GCF 6555 and 6561

(i) The GCF of 6555 and 6561 is associative

GCF of 6555 and 6561 = GCF of 6561 and 6555

Related Greatest Common Factor of 6555

Related Greatest Common Factor of 6561

Frequently Asked Questions on GCF of 6555 and 6561

1. What is the GCF of 6555 and 6561?

Answer: GCF of 6555 and 6561 is 3.

2. What are the Factors of 6555?

Answer: Factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555. There are 16 integers that are factors of 6555. The greatest factor of 6555 is 6555.

3. What are the Factors of 6561?

Answer: Factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561. There are 9 integers that are factors of 6561. The greatest factor of 6561 is 6561.

4. How to Find the GCF of 6555 and 6561?

Answer:

Greatest Common Factor of 6555 and 6561 = 3

Step 1: Find the prime factorization of 6555

6555 = 3 x 5 x 19 x 23

Step 2: Find the prime factorization of 6561

6561 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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 6555 and 6561 is 3