Greatest Common Factor of 7293 and 7301

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 7293, 7301 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7293 and 7301 is 1.

GCF(7293,7301) = 1

GCF of 7293 and 7301

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

GCF of:
and

Greatest Common Factor of 7293 and 7301

GCF of 7293 and 7301 is 1

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

Prime Factorization of 7301


7 7301
7 1043
149 149
1

Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:

7301 = 72×1491

∴ So by taking common prime factors GCF of 7293 and 7301 is 1

Greatest Common Factor of 7293 and 7301 by matching factors method

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

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Greatest Common Factor

We found the factors and prime factorization of 7293 and 7301. The biggest common factor number is the GCF number.
So the greatest common factor 7293 and 7301 is 1.

Also check out the Least Common Multiple of 7293 and 7301

Properties of GCF 7293 and 7301

(i) The GCF of 7293 and 7301 is associative

GCF of 7293 and 7301 = GCF of 7301 and 7293

Related Greatest Common Factor of 7293

Related Greatest Common Factor of 7301

Frequently Asked Questions on GCF of 7293 and 7301

1. What is the GCF of 7293 and 7301?

Answer: GCF of 7293 and 7301 is 1.

2. 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.

3. What are the Factors of 7301?

Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.

4. How to Find the GCF of 7293 and 7301?

Answer:

Greatest Common Factor of 7293 and 7301 = 1

Step 1: Find the prime factorization of 7293

7293 = 3 x 11 x 13 x 17

Step 2: Find the prime factorization of 7301

7301 = 7 x 7 x 149

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7293 and 7301 is 1