Greatest Common Factor of 1833 and 1839

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 1833, 1839 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1833 and 1839 is 3.

GCF(1833,1839) = 3

GCF of 1833 and 1839

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

GCF of:
and

Greatest Common Factor of 1833 and 1839

GCF of 1833 and 1839 is 3

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

Prime Factorization of 1839


3 1839
613 613
1

Prime factors of 1839 are 3,613. Prime factorization of 1839 in exponential form is:

1839 = 31×6131

∴ So by taking common prime factors GCF of 1833 and 1839 is 3

Greatest Common Factor of 1833 and 1839 by matching factors method

Factors of 1833

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

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

Factors of 1839

List of positive integer factors of 1839 that divides 1839 without a remainder.

1,3,613,1839

Greatest Common Factor

We found the factors and prime factorization of 1833 and 1839. The biggest common factor number is the GCF number.
So the greatest common factor 1833 and 1839 is 3.

Also check out the Least Common Multiple of 1833 and 1839

Properties of GCF 1833 and 1839

(i) The GCF of 1833 and 1839 is associative

GCF of 1833 and 1839 = GCF of 1839 and 1833

Related Greatest Common Factor of 1833

Related Greatest Common Factor of 1839

Frequently Asked Questions on GCF of 1833 and 1839

1. What is the GCF of 1833 and 1839?

Answer: GCF of 1833 and 1839 is 3.

2. 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.

3. What are the Factors of 1839?

Answer: Factors of 1839 are 1, 3, 613, 1839. There are 4 integers that are factors of 1839. The greatest factor of 1839 is 1839.

4. How to Find the GCF of 1833 and 1839?

Answer:

Greatest Common Factor of 1833 and 1839 = 3

Step 1: Find the prime factorization of 1833

1833 = 3 x 13 x 47

Step 2: Find the prime factorization of 1839

1839 = 3 x 613

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 1833 and 1839 is 3