Greatest Common Factor of 1836 and 1842

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 1836, 1842 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1836 and 1842 is 6.

GCF(1836,1842) = 6

GCF of 1836 and 1842

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

GCF of:
and

Greatest Common Factor of 1836 and 1842

GCF of 1836 and 1842 is 6

Prime Factorization of 1836


2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 1836 are 2,3,17. Prime factorization of 1836 in exponential form is:

1836 = 22×33×171

Prime Factorization of 1842


2 1842
3 921
307 307
1

Prime factors of 1842 are 2,3,307. Prime factorization of 1842 in exponential form is:

1842 = 21×31×3071

∴ So by taking common prime factors GCF of 1836 and 1842 is 6

Greatest Common Factor of 1836 and 1842 by matching factors method

Factors of 1836

List of positive integer factors of 1836 that divides 1836 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

Greatest Common Factor

We found the factors and prime factorization of 1836 and 1842. The biggest common factor number is the GCF number.
So the greatest common factor 1836 and 1842 is 6.

Also check out the Least Common Multiple of 1836 and 1842

Properties of GCF 1836 and 1842

(i) The GCF of 1836 and 1842 is associative

GCF of 1836 and 1842 = GCF of 1842 and 1836

Related Greatest Common Factor of 1836

Related Greatest Common Factor of 1842

Frequently Asked Questions on GCF of 1836 and 1842

1. What is the GCF of 1836 and 1842?

Answer: GCF of 1836 and 1842 is 6.

2. What are the Factors of 1836?

Answer: Factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836. There are 24 integers that are factors of 1836. The greatest factor of 1836 is 1836.

3. What are the Factors of 1842?

Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.

4. How to Find the GCF of 1836 and 1842?

Answer:

Greatest Common Factor of 1836 and 1842 = 6

Step 1: Find the prime factorization of 1836

1836 = 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 1842

1842 = 2 x 3 x 307

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1836 and 1842 is 6