Greatest Common Factor of 15300 and 15308

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, 15308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15300 and 15308 is 4.

GCF(15300,15308) = 4

GCF of 15300 and 15308

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

GCF of:
and

Greatest Common Factor of 15300 and 15308

GCF of 15300 and 15308 is 4

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 15308


2 15308
2 7654
43 3827
89 89
1

Prime factors of 15308 are 2,43,89. Prime factorization of 15308 in exponential form is:

15308 = 22×431×891

∴ So by taking common prime factors GCF of 15300 and 15308 is 4

Greatest Common Factor of 15300 and 15308 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 15308

List of positive integer factors of 15308 that divides 15308 without a remainder.

1,2,4,43,86,89,172,178,356,3827,7654,15308

Greatest Common Factor

We found the factors and prime factorization of 15300 and 15308. The biggest common factor number is the GCF number.
So the greatest common factor 15300 and 15308 is 4.

Also check out the Least Common Multiple of 15300 and 15308

Properties of GCF 15300 and 15308

(i) The GCF of 15300 and 15308 is associative

GCF of 15300 and 15308 = GCF of 15308 and 15300

Related Greatest Common Factor of 15300

Related Greatest Common Factor of 15308

Frequently Asked Questions on GCF of 15300 and 15308

1. What is the GCF of 15300 and 15308?

Answer: GCF of 15300 and 15308 is 4.

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 15308?

Answer: Factors of 15308 are 1, 2, 4, 43, 86, 89, 172, 178, 356, 3827, 7654, 15308. There are 12 integers that are factors of 15308. The greatest factor of 15308 is 15308.

4. How to Find the GCF of 15300 and 15308?

Answer:

Greatest Common Factor of 15300 and 15308 = 4

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 15308

15308 = 2 x 2 x 43 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15300 and 15308 is 4