Greatest Common Factor of 1809 and 1812

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 1809, 1812 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1809 and 1812 is 3.

GCF(1809,1812) = 3

GCF of 1809 and 1812

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

GCF of:
and

Greatest Common Factor of 1809 and 1812

GCF of 1809 and 1812 is 3

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

Prime Factorization of 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2,3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

∴ So by taking common prime factors GCF of 1809 and 1812 is 3

Greatest Common Factor of 1809 and 1812 by matching factors method

Factors of 1809

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

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

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors and prime factorization of 1809 and 1812. The biggest common factor number is the GCF number.
So the greatest common factor 1809 and 1812 is 3.

Also check out the Least Common Multiple of 1809 and 1812

Properties of GCF 1809 and 1812

(i) The GCF of 1809 and 1812 is associative

GCF of 1809 and 1812 = GCF of 1812 and 1809

Related Greatest Common Factor of 1809

Related Greatest Common Factor of 1812

Frequently Asked Questions on GCF of 1809 and 1812

1. What is the GCF of 1809 and 1812?

Answer: GCF of 1809 and 1812 is 3.

2. 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.

3. What are the Factors of 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

4. How to Find the GCF of 1809 and 1812?

Answer:

Greatest Common Factor of 1809 and 1812 = 3

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

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 1809 and 1812 is 3