Greatest Common Factor of 5305 and 5310

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 5305, 5310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5305 and 5310 is 5.

GCF(5305,5310) = 5

GCF of 5305 and 5310

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

GCF of:
and

Greatest Common Factor of 5305 and 5310

GCF of 5305 and 5310 is 5

Prime Factorization of 5305


5 5305
1061 1061
1

Prime factors of 5305 are 5,1061. Prime factorization of 5305 in exponential form is:

5305 = 51×10611

Prime Factorization of 5310


2 5310
3 2655
3 885
5 295
59 59
1

Prime factors of 5310 are 2,3,5,59. Prime factorization of 5310 in exponential form is:

5310 = 21×32×51×591

∴ So by taking common prime factors GCF of 5305 and 5310 is 5

Greatest Common Factor of 5305 and 5310 by matching factors method

Factors of 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1,5,1061,5305

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310

Greatest Common Factor

We found the factors and prime factorization of 5305 and 5310. The biggest common factor number is the GCF number.
So the greatest common factor 5305 and 5310 is 5.

Also check out the Least Common Multiple of 5305 and 5310

Properties of GCF 5305 and 5310

(i) The GCF of 5305 and 5310 is associative

GCF of 5305 and 5310 = GCF of 5310 and 5305

Related Greatest Common Factor of 5305

Related Greatest Common Factor of 5310

Frequently Asked Questions on GCF of 5305 and 5310

1. What is the GCF of 5305 and 5310?

Answer: GCF of 5305 and 5310 is 5.

2. What are the Factors of 5305?

Answer: Factors of 5305 are 1, 5, 1061, 5305. There are 4 integers that are factors of 5305. The greatest factor of 5305 is 5305.

3. What are the Factors of 5310?

Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.

4. How to Find the GCF of 5305 and 5310?

Answer:

Greatest Common Factor of 5305 and 5310 = 5

Step 1: Find the prime factorization of 5305

5305 = 5 x 1061

Step 2: Find the prime factorization of 5310

5310 = 2 x 3 x 3 x 5 x 59

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 5305 and 5310 is 5