Greatest Common Factor of 15300 and 15305

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 15300, 15305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15300 and 15305 is 5.

GCF(15300,15305) = 5

GCF of 15300 and 15305

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

GCF of:
and

Greatest Common Factor of 15300 and 15305

GCF of 15300 and 15305 is 5

Prime Factorization of 15300


2 15300
2 7650
3 3825
3 1275
5 425
5 85
17 17
1

Prime factors of 15300 are 2,3,5,17. Prime factorization of 15300 in exponential form is:

15300 = 22×32×52×171

Prime Factorization of 15305


5 15305
3061 3061
1

Prime factors of 15305 are 5,3061. Prime factorization of 15305 in exponential form is:

15305 = 51×30611

∴ So by taking common prime factors GCF of 15300 and 15305 is 5

Greatest Common Factor of 15300 and 15305 by matching factors method

Factors of 15300

List of positive integer factors of 15300 that divides 15300 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,25,30,34,36,45,50,51,60,68,75,85,90,100,102,150,153,170,180,204,225,255,300,306,340,425,450,510,612,765,850,900,1020,1275,1530,1700,2550,3060,3825,5100,7650,15300

Factors of 15305

List of positive integer factors of 15305 that divides 15305 without a remainder.

1,5,3061,15305

Greatest Common Factor

We found the factors and prime factorization of 15300 and 15305. The biggest common factor number is the GCF number.
So the greatest common factor 15300 and 15305 is 5.

Also check out the Least Common Multiple of 15300 and 15305

Properties of GCF 15300 and 15305

(i) The GCF of 15300 and 15305 is associative

GCF of 15300 and 15305 = GCF of 15305 and 15300

Related Greatest Common Factor of 15300

Related Greatest Common Factor of 15305

Frequently Asked Questions on GCF of 15300 and 15305

1. What is the GCF of 15300 and 15305?

Answer: GCF of 15300 and 15305 is 5.

2. What are the Factors of 15300?

Answer: Factors of 15300 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 30, 34, 36, 45, 50, 51, 60, 68, 75, 85, 90, 100, 102, 150, 153, 170, 180, 204, 225, 255, 300, 306, 340, 425, 450, 510, 612, 765, 850, 900, 1020, 1275, 1530, 1700, 2550, 3060, 3825, 5100, 7650, 15300. There are 54 integers that are factors of 15300. The greatest factor of 15300 is 15300.

3. What are the Factors of 15305?

Answer: Factors of 15305 are 1, 5, 3061, 15305. There are 4 integers that are factors of 15305. The greatest factor of 15305 is 15305.

4. How to Find the GCF of 15300 and 15305?

Answer:

Greatest Common Factor of 15300 and 15305 = 5

Step 1: Find the prime factorization of 15300

15300 = 2 x 2 x 3 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 15305

15305 = 5 x 3061

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 15300 and 15305 is 5