Greatest Common Factor of 7287 and 7293

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 7287, 7293 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7287 and 7293 is 3.

GCF(7287,7293) = 3

GCF of 7287 and 7293

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

GCF of:
and

Greatest Common Factor of 7287 and 7293

GCF of 7287 and 7293 is 3

Prime Factorization of 7287


3 7287
7 2429
347 347
1

Prime factors of 7287 are 3,7,347. Prime factorization of 7287 in exponential form is:

7287 = 31×71×3471

Prime Factorization of 7293


3 7293
11 2431
13 221
17 17
1

Prime factors of 7293 are 3,11,13,17. Prime factorization of 7293 in exponential form is:

7293 = 31×111×131×171

∴ So by taking common prime factors GCF of 7287 and 7293 is 3

Greatest Common Factor of 7287 and 7293 by matching factors method

Factors of 7287

List of positive integer factors of 7287 that divides 7287 without a remainder.

1,3,7,21,347,1041,2429,7287

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors and prime factorization of 7287 and 7293. The biggest common factor number is the GCF number.
So the greatest common factor 7287 and 7293 is 3.

Also check out the Least Common Multiple of 7287 and 7293

Properties of GCF 7287 and 7293

(i) The GCF of 7287 and 7293 is associative

GCF of 7287 and 7293 = GCF of 7293 and 7287

Related Greatest Common Factor of 7287

Related Greatest Common Factor of 7293

Frequently Asked Questions on GCF of 7287 and 7293

1. What is the GCF of 7287 and 7293?

Answer: GCF of 7287 and 7293 is 3.

2. What are the Factors of 7287?

Answer: Factors of 7287 are 1, 3, 7, 21, 347, 1041, 2429, 7287. There are 8 integers that are factors of 7287. The greatest factor of 7287 is 7287.

3. What are the Factors of 7293?

Answer: Factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293. There are 16 integers that are factors of 7293. The greatest factor of 7293 is 7293.

4. How to Find the GCF of 7287 and 7293?

Answer:

Greatest Common Factor of 7287 and 7293 = 3

Step 1: Find the prime factorization of 7287

7287 = 3 x 7 x 347

Step 2: Find the prime factorization of 7293

7293 = 3 x 11 x 13 x 17

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 7287 and 7293 is 3