Greatest Common Factor of 810 and 815

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, 815 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 810 and 815 is 5.

GCF(810,815) = 5

GCF of 810 and 815

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

GCF of:
and

Greatest Common Factor of 810 and 815

GCF of 810 and 815 is 5

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 815


5 815
163 163
1

Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:

815 = 51×1631

∴ So by taking common prime factors GCF of 810 and 815 is 5

Greatest Common Factor of 810 and 815 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 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors and prime factorization of 810 and 815. The biggest common factor number is the GCF number.
So the greatest common factor 810 and 815 is 5.

Also check out the Least Common Multiple of 810 and 815

Properties of GCF 810 and 815

(i) The GCF of 810 and 815 is associative

GCF of 810 and 815 = GCF of 815 and 810

Related Greatest Common Factor of 810

Related Greatest Common Factor of 815

Frequently Asked Questions on GCF of 810 and 815

1. What is the GCF of 810 and 815?

Answer: GCF of 810 and 815 is 5.

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 815?

Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.

4. How to Find the GCF of 810 and 815?

Answer:

Greatest Common Factor of 810 and 815 = 5

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 815

815 = 5 x 163

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

GCF = 5

Step 4: Therefore, the greatest common factor of 810 and 815 is 5