Greatest Common Factor of 2181 and 2187

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 2181, 2187 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2181 and 2187 is 3.

GCF(2181,2187) = 3

GCF of 2181 and 2187

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

GCF of:
and

Greatest Common Factor of 2181 and 2187

GCF of 2181 and 2187 is 3

Prime Factorization of 2181


3 2181
727 727
1

Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:

2181 = 31×7271

Prime Factorization of 2187


3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:

2187 = 37

∴ So by taking common prime factors GCF of 2181 and 2187 is 3

Greatest Common Factor of 2181 and 2187 by matching factors method

Factors of 2181

List of positive integer factors of 2181 that divides 2181 without a remainder.

1,3,727,2181

Factors of 2187

List of positive integer factors of 2187 that divides 2187 without a remainder.

1,3,9,27,81,243,729,2187

Greatest Common Factor

We found the factors and prime factorization of 2181 and 2187. The biggest common factor number is the GCF number.
So the greatest common factor 2181 and 2187 is 3.

Also check out the Least Common Multiple of 2181 and 2187

Properties of GCF 2181 and 2187

(i) The GCF of 2181 and 2187 is associative

GCF of 2181 and 2187 = GCF of 2187 and 2181

Related Greatest Common Factor of 2181

Related Greatest Common Factor of 2187

Frequently Asked Questions on GCF of 2181 and 2187

1. What is the GCF of 2181 and 2187?

Answer: GCF of 2181 and 2187 is 3.

2. What are the Factors of 2181?

Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.

3. What are the Factors of 2187?

Answer: Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. There are 8 integers that are factors of 2187. The greatest factor of 2187 is 2187.

4. How to Find the GCF of 2181 and 2187?

Answer:

Greatest Common Factor of 2181 and 2187 = 3

Step 1: Find the prime factorization of 2181

2181 = 3 x 727

Step 2: Find the prime factorization of 2187

2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3

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 2181 and 2187 is 3