Greatest Common Factor of 840 and 842

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, 842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 840 and 842 is 2.

GCF(840,842) = 2

GCF of 840 and 842

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

GCF of:
and

Greatest Common Factor of 840 and 842

GCF of 840 and 842 is 2

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 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

∴ So by taking common prime factors GCF of 840 and 842 is 2

Greatest Common Factor of 840 and 842 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 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors and prime factorization of 840 and 842. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 842 is 2.

Also check out the Least Common Multiple of 840 and 842

Properties of GCF 840 and 842

(i) The GCF of 840 and 842 is associative

GCF of 840 and 842 = GCF of 842 and 840

Related Greatest Common Factor of 840

Related Greatest Common Factor of 842

Frequently Asked Questions on GCF of 840 and 842

1. What is the GCF of 840 and 842?

Answer: GCF of 840 and 842 is 2.

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 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

4. How to Find the GCF of 840 and 842?

Answer:

Greatest Common Factor of 840 and 842 = 2

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 842

842 = 2 x 421

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

GCF = 2

Step 4: Therefore, the greatest common factor of 840 and 842 is 2