Greatest Common Factor of 5300 and 5305

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 5300, 5305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5300 and 5305 is 5.

GCF(5300,5305) = 5

GCF of 5300 and 5305

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

GCF of:
and

Greatest Common Factor of 5300 and 5305

GCF of 5300 and 5305 is 5

Prime Factorization of 5300


2 5300
2 2650
5 1325
5 265
53 53
1

Prime factors of 5300 are 2,5,53. Prime factorization of 5300 in exponential form is:

5300 = 22×52×531

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

∴ So by taking common prime factors GCF of 5300 and 5305 is 5

Greatest Common Factor of 5300 and 5305 by matching factors method

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Factors of 5305

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

1,5,1061,5305

Greatest Common Factor

We found the factors and prime factorization of 5300 and 5305. The biggest common factor number is the GCF number.
So the greatest common factor 5300 and 5305 is 5.

Also check out the Least Common Multiple of 5300 and 5305

Properties of GCF 5300 and 5305

(i) The GCF of 5300 and 5305 is associative

GCF of 5300 and 5305 = GCF of 5305 and 5300

Related Greatest Common Factor of 5300

Related Greatest Common Factor of 5305

Frequently Asked Questions on GCF of 5300 and 5305

1. What is the GCF of 5300 and 5305?

Answer: GCF of 5300 and 5305 is 5.

2. What are the Factors of 5300?

Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.

3. 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.

4. How to Find the GCF of 5300 and 5305?

Answer:

Greatest Common Factor of 5300 and 5305 = 5

Step 1: Find the prime factorization of 5300

5300 = 2 x 2 x 5 x 5 x 53

Step 2: Find the prime factorization of 5305

5305 = 5 x 1061

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 5300 and 5305 is 5