Greatest Common Factor of 1830 and 1833

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 1830, 1833 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1830 and 1833 is 3.

GCF(1830,1833) = 3

GCF of 1830 and 1833

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

GCF of:
and

Greatest Common Factor of 1830 and 1833

GCF of 1830 and 1833 is 3

Prime Factorization of 1830


2 1830
3 915
5 305
61 61
1

Prime factors of 1830 are 2,3,5,61. Prime factorization of 1830 in exponential form is:

1830 = 21×31×51×611

Prime Factorization of 1833


3 1833
13 611
47 47
1

Prime factors of 1833 are 3,13,47. Prime factorization of 1833 in exponential form is:

1833 = 31×131×471

∴ So by taking common prime factors GCF of 1830 and 1833 is 3

Greatest Common Factor of 1830 and 1833 by matching factors method

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors and prime factorization of 1830 and 1833. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1833 is 3.

Also check out the Least Common Multiple of 1830 and 1833

Properties of GCF 1830 and 1833

(i) The GCF of 1830 and 1833 is associative

GCF of 1830 and 1833 = GCF of 1833 and 1830

Related Greatest Common Factor of 1830

Related Greatest Common Factor of 1833

Frequently Asked Questions on GCF of 1830 and 1833

1. What is the GCF of 1830 and 1833?

Answer: GCF of 1830 and 1833 is 3.

2. What are the Factors of 1830?

Answer: Factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830. There are 16 integers that are factors of 1830. The greatest factor of 1830 is 1830.

3. What are the Factors of 1833?

Answer: Factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833. There are 8 integers that are factors of 1833. The greatest factor of 1833 is 1833.

4. How to Find the GCF of 1830 and 1833?

Answer:

Greatest Common Factor of 1830 and 1833 = 3

Step 1: Find the prime factorization of 1830

1830 = 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 1833

1833 = 3 x 13 x 47

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 1830 and 1833 is 3