Greatest Common Factor of 1812 and 1815

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 1812, 1815 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1812 and 1815 is 3.

GCF(1812,1815) = 3

GCF of 1812 and 1815

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

GCF of:
and

Greatest Common Factor of 1812 and 1815

GCF of 1812 and 1815 is 3

Prime Factorization of 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2,3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

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

∴ So by taking common prime factors GCF of 1812 and 1815 is 3

Greatest Common Factor of 1812 and 1815 by matching factors method

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

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

Greatest Common Factor

We found the factors and prime factorization of 1812 and 1815. The biggest common factor number is the GCF number.
So the greatest common factor 1812 and 1815 is 3.

Also check out the Least Common Multiple of 1812 and 1815

Properties of GCF 1812 and 1815

(i) The GCF of 1812 and 1815 is associative

GCF of 1812 and 1815 = GCF of 1815 and 1812

Related Greatest Common Factor of 1812

Related Greatest Common Factor of 1815

Frequently Asked Questions on GCF of 1812 and 1815

1. What is the GCF of 1812 and 1815?

Answer: GCF of 1812 and 1815 is 3.

2. What are the Factors of 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

3. 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.

4. How to Find the GCF of 1812 and 1815?

Answer:

Greatest Common Factor of 1812 and 1815 = 3

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1815

1815 = 3 x 5 x 11 x 11

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 1812 and 1815 is 3