Greatest Common Factor of 1816 and 1818

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 1816, 1818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1816 and 1818 is 2.

GCF(1816,1818) = 2

GCF of 1816 and 1818

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

GCF of:
and

Greatest Common Factor of 1816 and 1818

GCF of 1816 and 1818 is 2

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

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

∴ So by taking common prime factors GCF of 1816 and 1818 is 2

Greatest Common Factor of 1816 and 1818 by matching factors method

Factors of 1816

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

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

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

Greatest Common Factor

We found the factors and prime factorization of 1816 and 1818. The biggest common factor number is the GCF number.
So the greatest common factor 1816 and 1818 is 2.

Also check out the Least Common Multiple of 1816 and 1818

Properties of GCF 1816 and 1818

(i) The GCF of 1816 and 1818 is associative

GCF of 1816 and 1818 = GCF of 1818 and 1816

Related Greatest Common Factor of 1816

Related Greatest Common Factor of 1818

Frequently Asked Questions on GCF of 1816 and 1818

1. What is the GCF of 1816 and 1818?

Answer: GCF of 1816 and 1818 is 2.

2. 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.

3. 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.

4. How to Find the GCF of 1816 and 1818?

Answer:

Greatest Common Factor of 1816 and 1818 = 2

Step 1: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

Step 2: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

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 1816 and 1818 is 2