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, 1821 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1815 and 1821 is 3.
GCF(1815,1821) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1821
3 | 1821 |
607 | 607 |
1 |
Prime factors of 1821 are 3,607. Prime factorization of 1821 in exponential form is:
1821 = 31×6071
∴ So by taking common prime factors GCF of 1815 and 1821 is 3
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 1821
List of positive integer factors of 1821 that divides 1821 without a remainder.
1,3,607,1821
Greatest Common Factor
We found the factors and prime factorization of 1815 and 1821. The biggest common factor number is the GCF number.
So the greatest common factor 1815 and 1821 is 3.
Also check out the Least Common Multiple of 1815 and 1821
(i) The GCF of 1815 and 1821 is associative
GCF of 1815 and 1821 = GCF of 1821 and 1815
1. What is the GCF of 1815 and 1821?
Answer: GCF of 1815 and 1821 is 3.
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 1821?
Answer: Factors of 1821 are 1, 3, 607, 1821. There are 4 integers that are factors of 1821. The greatest factor of 1821 is 1821.
4. How to Find the GCF of 1815 and 1821?
Answer:
Greatest Common Factor of 1815 and 1821 = 3
Step 1: Find the prime factorization of 1815
1815 = 3 x 5 x 11 x 11
Step 2: Find the prime factorization of 1821
1821 = 3 x 607
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 1815 and 1821 is 3