Greatest Common Factor of 845 and 850

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 845, 850 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 845 and 850 is 5.

GCF(845,850) = 5

GCF of 845 and 850

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

GCF of:
and

Greatest Common Factor of 845 and 850

GCF of 845 and 850 is 5

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

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2,5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

∴ So by taking common prime factors GCF of 845 and 850 is 5

Greatest Common Factor of 845 and 850 by matching factors method

Factors of 845

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

1,5,13,65,169,845

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors and prime factorization of 845 and 850. The biggest common factor number is the GCF number.
So the greatest common factor 845 and 850 is 5.

Also check out the Least Common Multiple of 845 and 850

Properties of GCF 845 and 850

(i) The GCF of 845 and 850 is associative

GCF of 845 and 850 = GCF of 850 and 845

Related Greatest Common Factor of 845

Related Greatest Common Factor of 850

Frequently Asked Questions on GCF of 845 and 850

1. What is the GCF of 845 and 850?

Answer: GCF of 845 and 850 is 5.

2. 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.

3. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

4. How to Find the GCF of 845 and 850?

Answer:

Greatest Common Factor of 845 and 850 = 5

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

Step 2: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

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 845 and 850 is 5