Greatest Common Factor of 840 and 846

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

Greatest common factor (GCF) of 840 and 846 is 6.

GCF(840,846) = 6

GCF of 840 and 846

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

GCF of:
and

Greatest Common Factor of 840 and 846

GCF of 840 and 846 is 6

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 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2,3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

∴ So by taking common prime factors GCF of 840 and 846 is 6

Greatest Common Factor of 840 and 846 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 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors and prime factorization of 840 and 846. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 846 is 6.

Also check out the Least Common Multiple of 840 and 846

Properties of GCF 840 and 846

(i) The GCF of 840 and 846 is associative

GCF of 840 and 846 = GCF of 846 and 840

Related Greatest Common Factor of 840

Related Greatest Common Factor of 846

Frequently Asked Questions on GCF of 840 and 846

1. What is the GCF of 840 and 846?

Answer: GCF of 840 and 846 is 6.

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 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

4. How to Find the GCF of 840 and 846?

Answer:

Greatest Common Factor of 840 and 846 = 6

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 846

846 = 2 x 3 x 3 x 47

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 840 and 846 is 6