Greatest Common Factor of 6486 and 6489

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 6486, 6489 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6486 and 6489 is 3.

GCF(6486,6489) = 3

GCF of 6486 and 6489

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

GCF of:
and

Greatest Common Factor of 6486 and 6489

GCF of 6486 and 6489 is 3

Prime Factorization of 6486


2 6486
3 3243
23 1081
47 47
1

Prime factors of 6486 are 2,3,23,47. Prime factorization of 6486 in exponential form is:

6486 = 21×31×231×471

Prime Factorization of 6489


3 6489
3 2163
7 721
103 103
1

Prime factors of 6489 are 3,7,103. Prime factorization of 6489 in exponential form is:

6489 = 32×71×1031

∴ So by taking common prime factors GCF of 6486 and 6489 is 3

Greatest Common Factor of 6486 and 6489 by matching factors method

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors and prime factorization of 6486 and 6489. The biggest common factor number is the GCF number.
So the greatest common factor 6486 and 6489 is 3.

Also check out the Least Common Multiple of 6486 and 6489

Properties of GCF 6486 and 6489

(i) The GCF of 6486 and 6489 is associative

GCF of 6486 and 6489 = GCF of 6489 and 6486

Frequently Asked Questions on GCF of 6486 and 6489

1. What is the GCF of 6486 and 6489?

Answer: GCF of 6486 and 6489 is 3.

2. What are the Factors of 6486?

Answer: Factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486. There are 16 integers that are factors of 6486. The greatest factor of 6486 is 6486.

3. What are the Factors of 6489?

Answer: Factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489. There are 12 integers that are factors of 6489. The greatest factor of 6489 is 6489.

4. How to Find the GCF of 6486 and 6489?

Answer:

Greatest Common Factor of 6486 and 6489 = 3

Step 1: Find the prime factorization of 6486

6486 = 2 x 3 x 23 x 47

Step 2: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

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 6486 and 6489 is 3