Greatest Common Factor of 809 and 810

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 809, 810 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 809 and 810 is 1.

GCF(809,810) = 1

GCF of 809 and 810

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

GCF of:
and

Greatest Common Factor of 809 and 810

GCF of 809 and 810 is 1

Prime Factorization of 809


809 809
1

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Prime Factorization of 810


2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 810 are 2.Prime factorization of 810 in exponential form is:

810 = 21×34×51

∴ So by taking common prime factors GCF of 809 and 810 is 1

Greatest Common Factor of 809 and 810 by matching factors method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors and prime factorization of 809 and 810. The biggest common factor number is the GCF number.
So the greatest common factor 809 and 810 is 1.

Also check out the Least Common Multiple of 809 and 810

Properties of GCF 809 and 810

(i) The GCF of 809 and 810 is associative

GCF of 809 and 810 = GCF of 810 and 809

Related Greatest Common Factor of 809

Related Greatest Common Factor of 810

Frequently Asked Questions on GCF of 809 and 810

1. What is the GCF of 809 and 810?

Answer: GCF of 809 and 810 is 1.

2. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

3. What are the Factors of 810?

Answer: Factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810. There are 20 integers that are factors of 810. The greatest factor of 810 is 810.

4. How to Find the GCF of 809 and 810?

Answer:

Greatest Common Factor of 809 and 810 = 1

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 810

810 = 2 x 3 x 3 x 3 x 3 x 5

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 809 and 810 is 1