Greatest Common Factor of 885 and 891

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 885, 891 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 885 and 891 is 3.

GCF(885,891) = 3

GCF of 885 and 891

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

GCF of:
and

Greatest Common Factor of 885 and 891

GCF of 885 and 891 is 3

Prime Factorization of 885


3 885
5 295
59 59
1

Prime factors of 885 are 3,5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

Prime Factorization of 891


3 891
3 297
3 99
3 33
11 11
1

Prime factors of 891 are 3,11. Prime factorization of 891 in exponential form is:

891 = 34×111

∴ So by taking common prime factors GCF of 885 and 891 is 3

Greatest Common Factor of 885 and 891 by matching factors method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors and prime factorization of 885 and 891. The biggest common factor number is the GCF number.
So the greatest common factor 885 and 891 is 3.

Also check out the Least Common Multiple of 885 and 891

Properties of GCF 885 and 891

(i) The GCF of 885 and 891 is associative

GCF of 885 and 891 = GCF of 891 and 885

Related Greatest Common Factor of 885

Related Greatest Common Factor of 891

Frequently Asked Questions on GCF of 885 and 891

1. What is the GCF of 885 and 891?

Answer: GCF of 885 and 891 is 3.

2. What are the Factors of 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

3. What are the Factors of 891?

Answer: Factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891. There are 10 integers that are factors of 891. The greatest factor of 891 is 891.

4. How to Find the GCF of 885 and 891?

Answer:

Greatest Common Factor of 885 and 891 = 3

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

Step 2: Find the prime factorization of 891

891 = 3 x 3 x 3 x 3 x 11

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 885 and 891 is 3