Greatest Common Factor of 891 and 897

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 891, 897 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 891 and 897 is 3.

GCF(891,897) = 3

GCF of 891 and 897

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

GCF of:
and

Greatest Common Factor of 891 and 897

GCF of 891 and 897 is 3

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

Prime Factorization of 897


3 897
13 299
23 23
1

Prime factors of 897 are 3,13,23. Prime factorization of 897 in exponential form is:

897 = 31×131×231

∴ So by taking common prime factors GCF of 891 and 897 is 3

Greatest Common Factor of 891 and 897 by matching factors method

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

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors and prime factorization of 891 and 897. The biggest common factor number is the GCF number.
So the greatest common factor 891 and 897 is 3.

Also check out the Least Common Multiple of 891 and 897

Properties of GCF 891 and 897

(i) The GCF of 891 and 897 is associative

GCF of 891 and 897 = GCF of 897 and 891

Related Greatest Common Factor of 891

Related Greatest Common Factor of 897

Frequently Asked Questions on GCF of 891 and 897

1. What is the GCF of 891 and 897?

Answer: GCF of 891 and 897 is 3.

2. 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.

3. What are the Factors of 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

4. How to Find the GCF of 891 and 897?

Answer:

Greatest Common Factor of 891 and 897 = 3

Step 1: Find the prime factorization of 891

891 = 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 897

897 = 3 x 13 x 23

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 891 and 897 is 3