Greatest Common Factor of 888 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 888, 891 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 888 and 891 is 3.

GCF(888,891) = 3

GCF of 888 and 891

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

GCF of:
and

Greatest Common Factor of 888 and 891

GCF of 888 and 891 is 3

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2,3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

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 888 and 891 is 3

Greatest Common Factor of 888 and 891 by matching factors method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

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 888 and 891. The biggest common factor number is the GCF number.
So the greatest common factor 888 and 891 is 3.

Also check out the Least Common Multiple of 888 and 891

Properties of GCF 888 and 891

(i) The GCF of 888 and 891 is associative

GCF of 888 and 891 = GCF of 891 and 888

Related Greatest Common Factor of 888

Related Greatest Common Factor of 891

Frequently Asked Questions on GCF of 888 and 891

1. What is the GCF of 888 and 891?

Answer: GCF of 888 and 891 is 3.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

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 888 and 891?

Answer:

Greatest Common Factor of 888 and 891 = 3

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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 888 and 891 is 3