Greatest Common Factor of 1814 and 1817

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, 1817 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1814 and 1817 is 1.

GCF(1814,1817) = 1

GCF of 1814 and 1817

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

GCF of:
and

Greatest Common Factor of 1814 and 1817

GCF of 1814 and 1817 is 1

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 1817


23 1817
79 79
1

Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:

1817 = 231×791

∴ So by taking common prime factors GCF of 1814 and 1817 is 1

Greatest Common Factor of 1814 and 1817 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 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1,23,79,1817

Greatest Common Factor

We found the factors and prime factorization of 1814 and 1817. The biggest common factor number is the GCF number.
So the greatest common factor 1814 and 1817 is 1.

Also check out the Least Common Multiple of 1814 and 1817

Properties of GCF 1814 and 1817

(i) The GCF of 1814 and 1817 is associative

GCF of 1814 and 1817 = GCF of 1817 and 1814

Related Greatest Common Factor of 1814

Related Greatest Common Factor of 1817

Frequently Asked Questions on GCF of 1814 and 1817

1. What is the GCF of 1814 and 1817?

Answer: GCF of 1814 and 1817 is 1.

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 1817?

Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.

4. How to Find the GCF of 1814 and 1817?

Answer:

Greatest Common Factor of 1814 and 1817 = 1

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1817

1817 = 23 x 79

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 1814 and 1817 is 1