Greatest Common Factor of 1820 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 1820, 1827 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1820 and 1827 is 7.

GCF(1820,1827) = 7

GCF of 1820 and 1827

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

GCF of:
and

Greatest Common Factor of 1820 and 1827

GCF of 1820 and 1827 is 7

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

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 1820 and 1827 is 7

Greatest Common Factor of 1820 and 1827 by matching factors method

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

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 1820 and 1827. The biggest common factor number is the GCF number.
So the greatest common factor 1820 and 1827 is 7.

Also check out the Least Common Multiple of 1820 and 1827

Properties of GCF 1820 and 1827

(i) The GCF of 1820 and 1827 is associative

GCF of 1820 and 1827 = GCF of 1827 and 1820

Related Greatest Common Factor of 1820

Related Greatest Common Factor of 1827

Frequently Asked Questions on GCF of 1820 and 1827

1. What is the GCF of 1820 and 1827?

Answer: GCF of 1820 and 1827 is 7.

2. 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.

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 1820 and 1827?

Answer:

Greatest Common Factor of 1820 and 1827 = 7

Step 1: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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 = 7

Step 4: Therefore, the greatest common factor of 1820 and 1827 is 7