Greatest Common Factor of 1804 and 1806

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 1804, 1806 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1804 and 1806 is 2.

GCF(1804,1806) = 2

GCF of 1804 and 1806

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

GCF of:
and

Greatest Common Factor of 1804 and 1806

GCF of 1804 and 1806 is 2

Prime Factorization of 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2,11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

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

∴ So by taking common prime factors GCF of 1804 and 1806 is 2

Greatest Common Factor of 1804 and 1806 by matching factors method

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1,2,4,11,22,41,44,82,164,451,902,1804

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

Greatest Common Factor

We found the factors and prime factorization of 1804 and 1806. The biggest common factor number is the GCF number.
So the greatest common factor 1804 and 1806 is 2.

Also check out the Least Common Multiple of 1804 and 1806

Properties of GCF 1804 and 1806

(i) The GCF of 1804 and 1806 is associative

GCF of 1804 and 1806 = GCF of 1806 and 1804

Related Greatest Common Factor of 1804

Related Greatest Common Factor of 1806

Frequently Asked Questions on GCF of 1804 and 1806

1. What is the GCF of 1804 and 1806?

Answer: GCF of 1804 and 1806 is 2.

2. What are the Factors of 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

3. 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.

4. How to Find the GCF of 1804 and 1806?

Answer:

Greatest Common Factor of 1804 and 1806 = 2

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1804 and 1806 is 2