Greatest Common Factor of 844 and 849

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, 849 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 844 and 849 is 1.

GCF(844,849) = 1

GCF of 844 and 849

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

GCF of:
and

Greatest Common Factor of 844 and 849

GCF of 844 and 849 is 1

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 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

∴ So by taking common prime factors GCF of 844 and 849 is 1

Greatest Common Factor of 844 and 849 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 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors and prime factorization of 844 and 849. The biggest common factor number is the GCF number.
So the greatest common factor 844 and 849 is 1.

Also check out the Least Common Multiple of 844 and 849

Properties of GCF 844 and 849

(i) The GCF of 844 and 849 is associative

GCF of 844 and 849 = GCF of 849 and 844

Related Greatest Common Factor of 844

Related Greatest Common Factor of 849

Frequently Asked Questions on GCF of 844 and 849

1. What is the GCF of 844 and 849?

Answer: GCF of 844 and 849 is 1.

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 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

4. How to Find the GCF of 844 and 849?

Answer:

Greatest Common Factor of 844 and 849 = 1

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

Step 2: Find the prime factorization of 849

849 = 3 x 283

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 844 and 849 is 1