Greatest Common Factor of 6483 and 6486

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 6483, 6486 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6483 and 6486 is 3.

GCF(6483,6486) = 3

GCF of 6483 and 6486

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

GCF of:
and

Greatest Common Factor of 6483 and 6486

GCF of 6483 and 6486 is 3

Prime Factorization of 6483


3 6483
2161 2161
1

Prime factors of 6483 are 3,2161. Prime factorization of 6483 in exponential form is:

6483 = 31×21611

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

∴ So by taking common prime factors GCF of 6483 and 6486 is 3

Greatest Common Factor of 6483 and 6486 by matching factors method

Factors of 6483

List of positive integer factors of 6483 that divides 6483 without a remainder.

1,3,2161,6483

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

Greatest Common Factor

We found the factors and prime factorization of 6483 and 6486. The biggest common factor number is the GCF number.
So the greatest common factor 6483 and 6486 is 3.

Also check out the Least Common Multiple of 6483 and 6486

Properties of GCF 6483 and 6486

(i) The GCF of 6483 and 6486 is associative

GCF of 6483 and 6486 = GCF of 6486 and 6483

Frequently Asked Questions on GCF of 6483 and 6486

1. What is the GCF of 6483 and 6486?

Answer: GCF of 6483 and 6486 is 3.

2. What are the Factors of 6483?

Answer: Factors of 6483 are 1, 3, 2161, 6483. There are 4 integers that are factors of 6483. The greatest factor of 6483 is 6483.

3. 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.

4. How to Find the GCF of 6483 and 6486?

Answer:

Greatest Common Factor of 6483 and 6486 = 3

Step 1: Find the prime factorization of 6483

6483 = 3 x 2161

Step 2: Find the prime factorization of 6486

6486 = 2 x 3 x 23 x 47

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 6483 and 6486 is 3