Greatest Common Factor of 1814 and 1822

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 1814, 1822 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1814 and 1822 is 2.

GCF(1814,1822) = 2

GCF of 1814 and 1822

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

GCF of:
and

Greatest Common Factor of 1814 and 1822

GCF of 1814 and 1822 is 2

Prime Factorization of 1814


2 1814
907 907
1

Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:

1814 = 21×9071

Prime Factorization of 1822


2 1822
911 911
1

Prime factors of 1822 are 2,911. Prime factorization of 1822 in exponential form is:

1822 = 21×9111

∴ So by taking common prime factors GCF of 1814 and 1822 is 2

Greatest Common Factor of 1814 and 1822 by matching factors method

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1,2,907,1814

Factors of 1822

List of positive integer factors of 1822 that divides 1822 without a remainder.

1,2,911,1822

Greatest Common Factor

We found the factors and prime factorization of 1814 and 1822. The biggest common factor number is the GCF number.
So the greatest common factor 1814 and 1822 is 2.

Also check out the Least Common Multiple of 1814 and 1822

Properties of GCF 1814 and 1822

(i) The GCF of 1814 and 1822 is associative

GCF of 1814 and 1822 = GCF of 1822 and 1814

Related Greatest Common Factor of 1814

Related Greatest Common Factor of 1822

Frequently Asked Questions on GCF of 1814 and 1822

1. What is the GCF of 1814 and 1822?

Answer: GCF of 1814 and 1822 is 2.

2. What are the Factors of 1814?

Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.

3. What are the Factors of 1822?

Answer: Factors of 1822 are 1, 2, 911, 1822. There are 4 integers that are factors of 1822. The greatest factor of 1822 is 1822.

4. How to Find the GCF of 1814 and 1822?

Answer:

Greatest Common Factor of 1814 and 1822 = 2

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1822

1822 = 2 x 911

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 1814 and 1822 is 2