Greatest Common Factor of 1809 and 1815

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, 1815 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1809 and 1815 is 3.

GCF(1809,1815) = 3

GCF of 1809 and 1815

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

GCF of:
and

Greatest Common Factor of 1809 and 1815

GCF of 1809 and 1815 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 1815


3 1815
5 605
11 121
11 11
1

Prime factors of 1815 are 3,5,11. Prime factorization of 1815 in exponential form is:

1815 = 31×51×112

∴ So by taking common prime factors GCF of 1809 and 1815 is 3

Greatest Common Factor of 1809 and 1815 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 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Greatest Common Factor

We found the factors and prime factorization of 1809 and 1815. The biggest common factor number is the GCF number.
So the greatest common factor 1809 and 1815 is 3.

Also check out the Least Common Multiple of 1809 and 1815

Properties of GCF 1809 and 1815

(i) The GCF of 1809 and 1815 is associative

GCF of 1809 and 1815 = GCF of 1815 and 1809

Related Greatest Common Factor of 1809

Related Greatest Common Factor of 1815

Frequently Asked Questions on GCF of 1809 and 1815

1. What is the GCF of 1809 and 1815?

Answer: GCF of 1809 and 1815 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 1815?

Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.

4. How to Find the GCF of 1809 and 1815?

Answer:

Greatest Common Factor of 1809 and 1815 = 3

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

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 1815 is 3