Greatest Common Factor of 6305 and 6310

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 6305, 6310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6305 and 6310 is 5.

GCF(6305,6310) = 5

GCF of 6305 and 6310

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

GCF of:
and

Greatest Common Factor of 6305 and 6310

GCF of 6305 and 6310 is 5

Prime Factorization of 6305


5 6305
13 1261
97 97
1

Prime factors of 6305 are 5,13,97. Prime factorization of 6305 in exponential form is:

6305 = 51×131×971

Prime Factorization of 6310


2 6310
5 3155
631 631
1

Prime factors of 6310 are 2,5,631. Prime factorization of 6310 in exponential form is:

6310 = 21×51×6311

∴ So by taking common prime factors GCF of 6305 and 6310 is 5

Greatest Common Factor of 6305 and 6310 by matching factors method

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1,5,13,65,97,485,1261,6305

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1,2,5,10,631,1262,3155,6310

Greatest Common Factor

We found the factors and prime factorization of 6305 and 6310. The biggest common factor number is the GCF number.
So the greatest common factor 6305 and 6310 is 5.

Also check out the Least Common Multiple of 6305 and 6310

Properties of GCF 6305 and 6310

(i) The GCF of 6305 and 6310 is associative

GCF of 6305 and 6310 = GCF of 6310 and 6305

Related Greatest Common Factor of 6305

Related Greatest Common Factor of 6310

Frequently Asked Questions on GCF of 6305 and 6310

1. What is the GCF of 6305 and 6310?

Answer: GCF of 6305 and 6310 is 5.

2. What are the Factors of 6305?

Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.

3. What are the Factors of 6310?

Answer: Factors of 6310 are 1, 2, 5, 10, 631, 1262, 3155, 6310. There are 8 integers that are factors of 6310. The greatest factor of 6310 is 6310.

4. How to Find the GCF of 6305 and 6310?

Answer:

Greatest Common Factor of 6305 and 6310 = 5

Step 1: Find the prime factorization of 6305

6305 = 5 x 13 x 97

Step 2: Find the prime factorization of 6310

6310 = 2 x 5 x 631

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 6305 and 6310 is 5