Greatest Common Factor of 855 and 861

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 855, 861 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 855 and 861 is 3.

GCF(855,861) = 3

GCF of 855 and 861

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

GCF of:
and

Greatest Common Factor of 855 and 861

GCF of 855 and 861 is 3

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

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3,7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

∴ So by taking common prime factors GCF of 855 and 861 is 3

Greatest Common Factor of 855 and 861 by matching factors method

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

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors and prime factorization of 855 and 861. The biggest common factor number is the GCF number.
So the greatest common factor 855 and 861 is 3.

Also check out the Least Common Multiple of 855 and 861

Properties of GCF 855 and 861

(i) The GCF of 855 and 861 is associative

GCF of 855 and 861 = GCF of 861 and 855

Related Greatest Common Factor of 855

Related Greatest Common Factor of 861

Frequently Asked Questions on GCF of 855 and 861

1. What is the GCF of 855 and 861?

Answer: GCF of 855 and 861 is 3.

2. 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.

3. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

4. How to Find the GCF of 855 and 861?

Answer:

Greatest Common Factor of 855 and 861 = 3

Step 1: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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 855 and 861 is 3