Greatest Common Factor of 1809 and 1816

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, 1816 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1809 and 1816 is 1.

GCF(1809,1816) = 1

GCF of 1809 and 1816

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

GCF of:
and

Greatest Common Factor of 1809 and 1816

GCF of 1809 and 1816 is 1

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 1816


2 1816
2 908
2 454
227 227
1

Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:

1816 = 23×2271

∴ So by taking common prime factors GCF of 1809 and 1816 is 1

Greatest Common Factor of 1809 and 1816 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 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1,2,4,8,227,454,908,1816

Greatest Common Factor

We found the factors and prime factorization of 1809 and 1816. The biggest common factor number is the GCF number.
So the greatest common factor 1809 and 1816 is 1.

Also check out the Least Common Multiple of 1809 and 1816

Properties of GCF 1809 and 1816

(i) The GCF of 1809 and 1816 is associative

GCF of 1809 and 1816 = GCF of 1816 and 1809

Related Greatest Common Factor of 1809

Related Greatest Common Factor of 1816

Frequently Asked Questions on GCF of 1809 and 1816

1. What is the GCF of 1809 and 1816?

Answer: GCF of 1809 and 1816 is 1.

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 1816?

Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.

4. How to Find the GCF of 1809 and 1816?

Answer:

Greatest Common Factor of 1809 and 1816 = 1

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1809 and 1816 is 1