Greatest Common Factor of 1808 and 1814

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 1808, 1814 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1808 and 1814 is 2.

GCF(1808,1814) = 2

GCF of 1808 and 1814

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

GCF of:
and

Greatest Common Factor of 1808 and 1814

GCF of 1808 and 1814 is 2

Prime Factorization of 1808


2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:

1808 = 24×1131

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

∴ So by taking common prime factors GCF of 1808 and 1814 is 2

Greatest Common Factor of 1808 and 1814 by matching factors method

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1,2,4,8,16,113,226,452,904,1808

Factors of 1814

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

1,2,907,1814

Greatest Common Factor

We found the factors and prime factorization of 1808 and 1814. The biggest common factor number is the GCF number.
So the greatest common factor 1808 and 1814 is 2.

Also check out the Least Common Multiple of 1808 and 1814

Properties of GCF 1808 and 1814

(i) The GCF of 1808 and 1814 is associative

GCF of 1808 and 1814 = GCF of 1814 and 1808

Related Greatest Common Factor of 1808

Related Greatest Common Factor of 1814

Frequently Asked Questions on GCF of 1808 and 1814

1. What is the GCF of 1808 and 1814?

Answer: GCF of 1808 and 1814 is 2.

2. What are the Factors of 1808?

Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.

3. 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.

4. How to Find the GCF of 1808 and 1814?

Answer:

Greatest Common Factor of 1808 and 1814 = 2

Step 1: Find the prime factorization of 1808

1808 = 2 x 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 1814

1814 = 2 x 907

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 1808 and 1814 is 2