Greatest Common Factor of 1806 and 1809

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 1806, 1809 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1806 and 1809 is 3.

GCF(1806,1809) = 3

GCF of 1806 and 1809

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

GCF of:
and

Greatest Common Factor of 1806 and 1809

GCF of 1806 and 1809 is 3

Prime Factorization of 1806


2 1806
3 903
7 301
43 43
1

Prime factors of 1806 are 2,3,7,43. Prime factorization of 1806 in exponential form is:

1806 = 21×31×71×431

Prime Factorization of 1809


3 1809
3 603
3 201
67 67
1

Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:

1809 = 33×671

∴ So by taking common prime factors GCF of 1806 and 1809 is 3

Greatest Common Factor of 1806 and 1809 by matching factors method

Factors of 1806

List of positive integer factors of 1806 that divides 1806 without a remainder.

1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806

Factors of 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1,3,9,27,67,201,603,1809

Greatest Common Factor

We found the factors and prime factorization of 1806 and 1809. The biggest common factor number is the GCF number.
So the greatest common factor 1806 and 1809 is 3.

Also check out the Least Common Multiple of 1806 and 1809

Properties of GCF 1806 and 1809

(i) The GCF of 1806 and 1809 is associative

GCF of 1806 and 1809 = GCF of 1809 and 1806

Related Greatest Common Factor of 1806

Related Greatest Common Factor of 1809

Frequently Asked Questions on GCF of 1806 and 1809

1. What is the GCF of 1806 and 1809?

Answer: GCF of 1806 and 1809 is 3.

2. What are the Factors of 1806?

Answer: Factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806. There are 16 integers that are factors of 1806. The greatest factor of 1806 is 1806.

3. What are the Factors of 1809?

Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.

4. How to Find the GCF of 1806 and 1809?

Answer:

Greatest Common Factor of 1806 and 1809 = 3

Step 1: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

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 1806 and 1809 is 3