Greatest Common Factor of 4305 and 4310

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 4305, 4310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4305 and 4310 is 5.

GCF(4305,4310) = 5

GCF of 4305 and 4310

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

GCF of:
and

Greatest Common Factor of 4305 and 4310

GCF of 4305 and 4310 is 5

Prime Factorization of 4305


3 4305
5 1435
7 287
41 41
1

Prime factors of 4305 are 3,5,7,41. Prime factorization of 4305 in exponential form is:

4305 = 31×51×71×411

Prime Factorization of 4310


2 4310
5 2155
431 431
1

Prime factors of 4310 are 2,5,431. Prime factorization of 4310 in exponential form is:

4310 = 21×51×4311

∴ So by taking common prime factors GCF of 4305 and 4310 is 5

Greatest Common Factor of 4305 and 4310 by matching factors method

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors and prime factorization of 4305 and 4310. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4310 is 5.

Also check out the Least Common Multiple of 4305 and 4310

Properties of GCF 4305 and 4310

(i) The GCF of 4305 and 4310 is associative

GCF of 4305 and 4310 = GCF of 4310 and 4305

Related Greatest Common Factor of 4305

Related Greatest Common Factor of 4310

Frequently Asked Questions on GCF of 4305 and 4310

1. What is the GCF of 4305 and 4310?

Answer: GCF of 4305 and 4310 is 5.

2. What are the Factors of 4305?

Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.

3. What are the Factors of 4310?

Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.

4. How to Find the GCF of 4305 and 4310?

Answer:

Greatest Common Factor of 4305 and 4310 = 5

Step 1: Find the prime factorization of 4305

4305 = 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 4310

4310 = 2 x 5 x 431

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 4305 and 4310 is 5