Greatest Common Factor of 1836 and 1840

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, 1840 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1836 and 1840 is 4.

GCF(1836,1840) = 4

GCF of 1836 and 1840

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

GCF of:
and

Greatest Common Factor of 1836 and 1840

GCF of 1836 and 1840 is 4

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 1840


2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 1840 are 2,5,23. Prime factorization of 1840 in exponential form is:

1840 = 24×51×231

∴ So by taking common prime factors GCF of 1836 and 1840 is 4

Greatest Common Factor of 1836 and 1840 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 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Greatest Common Factor

We found the factors and prime factorization of 1836 and 1840. The biggest common factor number is the GCF number.
So the greatest common factor 1836 and 1840 is 4.

Also check out the Least Common Multiple of 1836 and 1840

Properties of GCF 1836 and 1840

(i) The GCF of 1836 and 1840 is associative

GCF of 1836 and 1840 = GCF of 1840 and 1836

Related Greatest Common Factor of 1836

Related Greatest Common Factor of 1840

Frequently Asked Questions on GCF of 1836 and 1840

1. What is the GCF of 1836 and 1840?

Answer: GCF of 1836 and 1840 is 4.

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 1840?

Answer: Factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840. There are 20 integers that are factors of 1840. The greatest factor of 1840 is 1840.

4. How to Find the GCF of 1836 and 1840?

Answer:

Greatest Common Factor of 1836 and 1840 = 4

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 1840

1840 = 2 x 2 x 2 x 2 x 5 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1836 and 1840 is 4