Greatest Common Factor of 810 and 813

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 810, 813 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 810 and 813 is 3.

GCF(810,813) = 3

GCF of 810 and 813

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

GCF of:
and

Greatest Common Factor of 810 and 813

GCF of 810 and 813 is 3

Prime Factorization of 810


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

Prime factors of 810 are 2,3,5. Prime factorization of 810 in exponential form is:

810 = 21×34×51

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

∴ So by taking common prime factors GCF of 810 and 813 is 3

Greatest Common Factor of 810 and 813 by matching factors method

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

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors and prime factorization of 810 and 813. The biggest common factor number is the GCF number.
So the greatest common factor 810 and 813 is 3.

Also check out the Least Common Multiple of 810 and 813

Properties of GCF 810 and 813

(i) The GCF of 810 and 813 is associative

GCF of 810 and 813 = GCF of 813 and 810

Related Greatest Common Factor of 810

Related Greatest Common Factor of 813

Frequently Asked Questions on GCF of 810 and 813

1. What is the GCF of 810 and 813?

Answer: GCF of 810 and 813 is 3.

2. 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.

3. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

4. How to Find the GCF of 810 and 813?

Answer:

Greatest Common Factor of 810 and 813 = 3

Step 1: Find the prime factorization of 810

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

Step 2: Find the prime factorization of 813

813 = 3 x 271

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 810 and 813 is 3