Greatest Common Factor of 15300 and 15306

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, 15306 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15300 and 15306 is 6.

GCF(15300,15306) = 6

GCF of 15300 and 15306

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

GCF of:
and

Greatest Common Factor of 15300 and 15306

GCF of 15300 and 15306 is 6

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 15306


2 15306
3 7653
2551 2551
1

Prime factors of 15306 are 2,3,2551. Prime factorization of 15306 in exponential form is:

15306 = 21×31×25511

∴ So by taking common prime factors GCF of 15300 and 15306 is 6

Greatest Common Factor of 15300 and 15306 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 15306

List of positive integer factors of 15306 that divides 15306 without a remainder.

1,2,3,6,2551,5102,7653,15306

Greatest Common Factor

We found the factors and prime factorization of 15300 and 15306. The biggest common factor number is the GCF number.
So the greatest common factor 15300 and 15306 is 6.

Also check out the Least Common Multiple of 15300 and 15306

Properties of GCF 15300 and 15306

(i) The GCF of 15300 and 15306 is associative

GCF of 15300 and 15306 = GCF of 15306 and 15300

Related Greatest Common Factor of 15300

Related Greatest Common Factor of 15306

Frequently Asked Questions on GCF of 15300 and 15306

1. What is the GCF of 15300 and 15306?

Answer: GCF of 15300 and 15306 is 6.

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 15306?

Answer: Factors of 15306 are 1, 2, 3, 6, 2551, 5102, 7653, 15306. There are 8 integers that are factors of 15306. The greatest factor of 15306 is 15306.

4. How to Find the GCF of 15300 and 15306?

Answer:

Greatest Common Factor of 15300 and 15306 = 6

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 15306

15306 = 2 x 3 x 2551

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15300 and 15306 is 6