Greatest Common Factor of 840 and 843

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 840, 843 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 840 and 843 is 3.

GCF(840,843) = 3

GCF of 840 and 843

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

GCF of:
and

Greatest Common Factor of 840 and 843

GCF of 840 and 843 is 3

Prime Factorization of 840


2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 840 are 2,3,5,7. Prime factorization of 840 in exponential form is:

840 = 23×31×51×71

Prime Factorization of 843


3 843
281 281
1

Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:

843 = 31×2811

∴ So by taking common prime factors GCF of 840 and 843 is 3

Greatest Common Factor of 840 and 843 by matching factors method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors and prime factorization of 840 and 843. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 843 is 3.

Also check out the Least Common Multiple of 840 and 843

Properties of GCF 840 and 843

(i) The GCF of 840 and 843 is associative

GCF of 840 and 843 = GCF of 843 and 840

Related Greatest Common Factor of 840

Related Greatest Common Factor of 843

Frequently Asked Questions on GCF of 840 and 843

1. What is the GCF of 840 and 843?

Answer: GCF of 840 and 843 is 3.

2. What are the Factors of 840?

Answer: Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840. There are 32 integers that are factors of 840. The greatest factor of 840 is 840.

3. What are the Factors of 843?

Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.

4. How to Find the GCF of 840 and 843?

Answer:

Greatest Common Factor of 840 and 843 = 3

Step 1: Find the prime factorization of 840

840 = 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 843

843 = 3 x 281

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 840 and 843 is 3