Greatest Common Factor of 849 and 855

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 849, 855 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 849 and 855 is 3.

GCF(849,855) = 3

GCF of 849 and 855

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

GCF of:
and

Greatest Common Factor of 849 and 855

GCF of 849 and 855 is 3

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

Prime Factorization of 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3,5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

∴ So by taking common prime factors GCF of 849 and 855 is 3

Greatest Common Factor of 849 and 855 by matching factors method

Factors of 849

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

1,3,283,849

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors and prime factorization of 849 and 855. The biggest common factor number is the GCF number.
So the greatest common factor 849 and 855 is 3.

Also check out the Least Common Multiple of 849 and 855

Properties of GCF 849 and 855

(i) The GCF of 849 and 855 is associative

GCF of 849 and 855 = GCF of 855 and 849

Related Greatest Common Factor of 849

Related Greatest Common Factor of 855

Frequently Asked Questions on GCF of 849 and 855

1. What is the GCF of 849 and 855?

Answer: GCF of 849 and 855 is 3.

2. 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.

3. What are the Factors of 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

4. How to Find the GCF of 849 and 855?

Answer:

Greatest Common Factor of 849 and 855 = 3

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

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

GCF = 3

Step 4: Therefore, the greatest common factor of 849 and 855 is 3