Greatest Common Factor of 1818 and 1823

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 1818, 1823 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1818 and 1823 is 1.

GCF(1818,1823) = 1

GCF of 1818 and 1823

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

GCF of:
and

Greatest Common Factor of 1818 and 1823

GCF of 1818 and 1823 is 1

Prime Factorization of 1818


2 1818
3 909
3 303
101 101
1

Prime factors of 1818 are 2,3,101. Prime factorization of 1818 in exponential form is:

1818 = 21×32×1011

Prime Factorization of 1823


1823 1823
1

Prime factors of 1823 are 1823. Prime factorization of 1823 in exponential form is:

1823 = 18231

∴ So by taking common prime factors GCF of 1818 and 1823 is 1

Greatest Common Factor of 1818 and 1823 by matching factors method

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1,2,3,6,9,18,101,202,303,606,909,1818

Factors of 1823

List of positive integer factors of 1823 that divides 1823 without a remainder.

1,1823

Greatest Common Factor

We found the factors and prime factorization of 1818 and 1823. The biggest common factor number is the GCF number.
So the greatest common factor 1818 and 1823 is 1.

Also check out the Least Common Multiple of 1818 and 1823

Properties of GCF 1818 and 1823

(i) The GCF of 1818 and 1823 is associative

GCF of 1818 and 1823 = GCF of 1823 and 1818

Related Greatest Common Factor of 1818

Related Greatest Common Factor of 1823

Frequently Asked Questions on GCF of 1818 and 1823

1. What is the GCF of 1818 and 1823?

Answer: GCF of 1818 and 1823 is 1.

2. What are the Factors of 1818?

Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.

3. What are the Factors of 1823?

Answer: Factors of 1823 are 1, 1823. There are 2 integers that are factors of 1823. The greatest factor of 1823 is 1823.

4. How to Find the GCF of 1818 and 1823?

Answer:

Greatest Common Factor of 1818 and 1823 = 1

Step 1: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

Step 2: Find the prime factorization of 1823

1823 = 1823

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 1818 and 1823 is 1