Greatest Common Factor of 840 and 845

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, 845 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 840 and 845 is 5.

GCF(840,845) = 5

GCF of 840 and 845

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

GCF of:
and

Greatest Common Factor of 840 and 845

GCF of 840 and 845 is 5

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 845


5 845
13 169
13 13
1

Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:

845 = 51×132

∴ So by taking common prime factors GCF of 840 and 845 is 5

Greatest Common Factor of 840 and 845 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 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors and prime factorization of 840 and 845. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 845 is 5.

Also check out the Least Common Multiple of 840 and 845

Properties of GCF 840 and 845

(i) The GCF of 840 and 845 is associative

GCF of 840 and 845 = GCF of 845 and 840

Related Greatest Common Factor of 840

Related Greatest Common Factor of 845

Frequently Asked Questions on GCF of 840 and 845

1. What is the GCF of 840 and 845?

Answer: GCF of 840 and 845 is 5.

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 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

4. How to Find the GCF of 840 and 845?

Answer:

Greatest Common Factor of 840 and 845 = 5

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 845

845 = 5 x 13 x 13

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

GCF = 5

Step 4: Therefore, the greatest common factor of 840 and 845 is 5