Greatest Common Factor of 1806 and 1813

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, 1813 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1806 and 1813 is 7.

GCF(1806,1813) = 7

GCF of 1806 and 1813

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

GCF of:
and

Greatest Common Factor of 1806 and 1813

GCF of 1806 and 1813 is 7

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 1813


7 1813
7 259
37 37
1

Prime factors of 1813 are 7,37. Prime factorization of 1813 in exponential form is:

1813 = 72×371

∴ So by taking common prime factors GCF of 1806 and 1813 is 7

Greatest Common Factor of 1806 and 1813 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 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1,7,37,49,259,1813

Greatest Common Factor

We found the factors and prime factorization of 1806 and 1813. The biggest common factor number is the GCF number.
So the greatest common factor 1806 and 1813 is 7.

Also check out the Least Common Multiple of 1806 and 1813

Properties of GCF 1806 and 1813

(i) The GCF of 1806 and 1813 is associative

GCF of 1806 and 1813 = GCF of 1813 and 1806

Related Greatest Common Factor of 1806

Related Greatest Common Factor of 1813

Frequently Asked Questions on GCF of 1806 and 1813

1. What is the GCF of 1806 and 1813?

Answer: GCF of 1806 and 1813 is 7.

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 1813?

Answer: Factors of 1813 are 1, 7, 37, 49, 259, 1813. There are 6 integers that are factors of 1813. The greatest factor of 1813 is 1813.

4. How to Find the GCF of 1806 and 1813?

Answer:

Greatest Common Factor of 1806 and 1813 = 7

Step 1: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 1813

1813 = 7 x 7 x 37

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1806 and 1813 is 7