Greatest Common Factor of 1815 and 1820

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 1815, 1820 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1815 and 1820 is 5.

GCF(1815,1820) = 5

GCF of 1815 and 1820

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

GCF of:
and

Greatest Common Factor of 1815 and 1820

GCF of 1815 and 1820 is 5

Prime Factorization of 1815


3 1815
5 605
11 121
11 11
1

Prime factors of 1815 are 3,5,11. Prime factorization of 1815 in exponential form is:

1815 = 31×51×112

Prime Factorization of 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2,5,7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

∴ So by taking common prime factors GCF of 1815 and 1820 is 5

Greatest Common Factor of 1815 and 1820 by matching factors method

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

Greatest Common Factor

We found the factors and prime factorization of 1815 and 1820. The biggest common factor number is the GCF number.
So the greatest common factor 1815 and 1820 is 5.

Also check out the Least Common Multiple of 1815 and 1820

Properties of GCF 1815 and 1820

(i) The GCF of 1815 and 1820 is associative

GCF of 1815 and 1820 = GCF of 1820 and 1815

Related Greatest Common Factor of 1815

Related Greatest Common Factor of 1820

Frequently Asked Questions on GCF of 1815 and 1820

1. What is the GCF of 1815 and 1820?

Answer: GCF of 1815 and 1820 is 5.

2. What are the Factors of 1815?

Answer: Factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815. There are 12 integers that are factors of 1815. The greatest factor of 1815 is 1815.

3. What are the Factors of 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

4. How to Find the GCF of 1815 and 1820?

Answer:

Greatest Common Factor of 1815 and 1820 = 5

Step 1: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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 1815 and 1820 is 5