Greatest Common Factor of 7305 and 7313

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, 7313 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7305 and 7313 is 1.

GCF(7305,7313) = 1

GCF of 7305 and 7313

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

GCF of:
and

Greatest Common Factor of 7305 and 7313

GCF of 7305 and 7313 is 1

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 7313


71 7313
103 103
1

Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:

7313 = 711×1031

∴ So by taking common prime factors GCF of 7305 and 7313 is 1

Greatest Common Factor of 7305 and 7313 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 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Greatest Common Factor

We found the factors and prime factorization of 7305 and 7313. The biggest common factor number is the GCF number.
So the greatest common factor 7305 and 7313 is 1.

Also check out the Least Common Multiple of 7305 and 7313

Properties of GCF 7305 and 7313

(i) The GCF of 7305 and 7313 is associative

GCF of 7305 and 7313 = GCF of 7313 and 7305

Related Greatest Common Factor of 7305

Related Greatest Common Factor of 7313

Frequently Asked Questions on GCF of 7305 and 7313

1. What is the GCF of 7305 and 7313?

Answer: GCF of 7305 and 7313 is 1.

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 7313?

Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.

4. How to Find the GCF of 7305 and 7313?

Answer:

Greatest Common Factor of 7305 and 7313 = 1

Step 1: Find the prime factorization of 7305

7305 = 3 x 5 x 487

Step 2: Find the prime factorization of 7313

7313 = 71 x 103

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 7305 and 7313 is 1