Greatest Common Factor of 840 and 847

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, 847 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 840 and 847 is 7.

GCF(840,847) = 7

GCF of 840 and 847

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

GCF of:
and

Greatest Common Factor of 840 and 847

GCF of 840 and 847 is 7

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 847


7 847
11 121
11 11
1

Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:

847 = 71×112

∴ So by taking common prime factors GCF of 840 and 847 is 7

Greatest Common Factor of 840 and 847 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 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors and prime factorization of 840 and 847. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 847 is 7.

Also check out the Least Common Multiple of 840 and 847

Properties of GCF 840 and 847

(i) The GCF of 840 and 847 is associative

GCF of 840 and 847 = GCF of 847 and 840

Related Greatest Common Factor of 840

Related Greatest Common Factor of 847

Frequently Asked Questions on GCF of 840 and 847

1. What is the GCF of 840 and 847?

Answer: GCF of 840 and 847 is 7.

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 847?

Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.

4. How to Find the GCF of 840 and 847?

Answer:

Greatest Common Factor of 840 and 847 = 7

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 847

847 = 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 840 and 847 is 7