Greatest Common Factor of 1821 and 1827

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 1821, 1827 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1821 and 1827 is 3.

GCF(1821,1827) = 3

GCF of 1821 and 1827

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

GCF of:
and

Greatest Common Factor of 1821 and 1827

GCF of 1821 and 1827 is 3

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

Prime Factorization of 1827


3 1827
3 609
7 203
29 29
1

Prime factors of 1827 are 3,7,29. Prime factorization of 1827 in exponential form is:

1827 = 32×71×291

∴ So by taking common prime factors GCF of 1821 and 1827 is 3

Greatest Common Factor of 1821 and 1827 by matching factors method

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1,3,7,9,21,29,63,87,203,261,609,1827

Greatest Common Factor

We found the factors and prime factorization of 1821 and 1827. The biggest common factor number is the GCF number.
So the greatest common factor 1821 and 1827 is 3.

Also check out the Least Common Multiple of 1821 and 1827

Properties of GCF 1821 and 1827

(i) The GCF of 1821 and 1827 is associative

GCF of 1821 and 1827 = GCF of 1827 and 1821

Related Greatest Common Factor of 1821

Related Greatest Common Factor of 1827

Frequently Asked Questions on GCF of 1821 and 1827

1. What is the GCF of 1821 and 1827?

Answer: GCF of 1821 and 1827 is 3.

2. 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.

3. What are the Factors of 1827?

Answer: Factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827. There are 12 integers that are factors of 1827. The greatest factor of 1827 is 1827.

4. How to Find the GCF of 1821 and 1827?

Answer:

Greatest Common Factor of 1821 and 1827 = 3

Step 1: Find the prime factorization of 1821

1821 = 3 x 607

Step 2: Find the prime factorization of 1827

1827 = 3 x 3 x 7 x 29

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 1821 and 1827 is 3