Greatest Common Factor of 2187 and 2193

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 2187, 2193 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2187 and 2193 is 3.

GCF(2187,2193) = 3

GCF of 2187 and 2193

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

GCF of:
and

Greatest Common Factor of 2187 and 2193

GCF of 2187 and 2193 is 3

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

Prime Factorization of 2193


3 2193
17 731
43 43
1

Prime factors of 2193 are 3.Prime factorization of 2193 in exponential form is:

2193 = 31×171×431

∴ So by taking common prime factors GCF of 2187 and 2193 is 3

Greatest Common Factor of 2187 and 2193 by matching factors method

Factors of 2187

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

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

Factors of 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1,3,17,43,51,129,731,2193

Greatest Common Factor

We found the factors and prime factorization of 2187 and 2193. The biggest common factor number is the GCF number.
So the greatest common factor 2187 and 2193 is 3.

Also check out the Least Common Multiple of 2187 and 2193

Properties of GCF 2187 and 2193

(i) The GCF of 2187 and 2193 is associative

GCF of 2187 and 2193 = GCF of 2193 and 2187

Related Greatest Common Factor of 2187

Related Greatest Common Factor of 2193

Frequently Asked Questions on GCF of 2187 and 2193

1. What is the GCF of 2187 and 2193?

Answer: GCF of 2187 and 2193 is 3.

2. 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.

3. What are the Factors of 2193?

Answer: Factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193. There are 8 integers that are factors of 2193. The greatest factor of 2193 is 2193.

4. How to Find the GCF of 2187 and 2193?

Answer:

Greatest Common Factor of 2187 and 2193 = 3

Step 1: Find the prime factorization of 2187

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

Step 2: Find the prime factorization of 2193

2193 = 3 x 17 x 43

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 2187 and 2193 is 3