Greatest Common Factor of 7305 and 7310

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 7305, 7310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7305 and 7310 is 5.

GCF(7305,7310) = 5

GCF of 7305 and 7310

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

GCF of:
and

Greatest Common Factor of 7305 and 7310

GCF of 7305 and 7310 is 5

Prime Factorization of 7305


3 7305
5 2435
487 487
1

Prime factors of 7305 are 3,5,487. Prime factorization of 7305 in exponential form is:

7305 = 31×51×4871

Prime Factorization of 7310


2 7310
5 3655
17 731
43 43
1

Prime factors of 7310 are 2,5,17,43. Prime factorization of 7310 in exponential form is:

7310 = 21×51×171×431

∴ So by taking common prime factors GCF of 7305 and 7310 is 5

Greatest Common Factor of 7305 and 7310 by matching factors method

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310

Greatest Common Factor

We found the factors and prime factorization of 7305 and 7310. The biggest common factor number is the GCF number.
So the greatest common factor 7305 and 7310 is 5.

Also check out the Least Common Multiple of 7305 and 7310

Properties of GCF 7305 and 7310

(i) The GCF of 7305 and 7310 is associative

GCF of 7305 and 7310 = GCF of 7310 and 7305

Related Greatest Common Factor of 7305

Related Greatest Common Factor of 7310

Frequently Asked Questions on GCF of 7305 and 7310

1. What is the GCF of 7305 and 7310?

Answer: GCF of 7305 and 7310 is 5.

2. What are the Factors of 7305?

Answer: Factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305. There are 8 integers that are factors of 7305. The greatest factor of 7305 is 7305.

3. What are the Factors of 7310?

Answer: Factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310. There are 16 integers that are factors of 7310. The greatest factor of 7310 is 7310.

4. How to Find the GCF of 7305 and 7310?

Answer:

Greatest Common Factor of 7305 and 7310 = 5

Step 1: Find the prime factorization of 7305

7305 = 3 x 5 x 487

Step 2: Find the prime factorization of 7310

7310 = 2 x 5 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 = 5

Step 4: Therefore, the greatest common factor of 7305 and 7310 is 5