Greatest Common Factor of 844 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 844, 850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 844 and 850 is 2.

GCF(844,850) = 2

GCF of 844 and 850

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

GCF of:
and

Greatest Common Factor of 844 and 850

GCF of 844 and 850 is 2

Prime Factorization of 844


2 844
2 422
211 211
1

Prime factors of 844 are 2,211. Prime factorization of 844 in exponential form is:

844 = 22×2111

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 844 and 850 is 2

Greatest Common Factor of 844 and 850 by matching factors method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

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 844 and 850. The biggest common factor number is the GCF number.
So the greatest common factor 844 and 850 is 2.

Also check out the Least Common Multiple of 844 and 850

Properties of GCF 844 and 850

(i) The GCF of 844 and 850 is associative

GCF of 844 and 850 = GCF of 850 and 844

Related Greatest Common Factor of 844

Related Greatest Common Factor of 850

Frequently Asked Questions on GCF of 844 and 850

1. What is the GCF of 844 and 850?

Answer: GCF of 844 and 850 is 2.

2. What are the Factors of 844?

Answer: Factors of 844 are 1, 2, 4, 211, 422, 844. There are 6 integers that are factors of 844. The greatest factor of 844 is 844.

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 844 and 850?

Answer:

Greatest Common Factor of 844 and 850 = 2

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

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 = 2

Step 4: Therefore, the greatest common factor of 844 and 850 is 2