What is the Greatest Common Factor of 15300 and 15320?

Greatest common factor (GCF) of 15300 and 15320 is 20.

GCF(15300,15320) = 20

We will now calculate the prime factors of 15300 and 15320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15300 and 15320.

How to find the GCF of 15300 and 15320?

We will first find the prime factorization of 15300 and 15320. After we will calculate the factors of 15300 and 15320 and find the biggest common factor number .

Step-1: Prime Factorization of 15300

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

15300 = 2² × 3² × 5² × 17¹

Step-2: Prime Factorization of 15320

Prime factors of 15320 are 2, 5, 383. Prime factorization of 15320 in exponential form is:

15320 = 2³ × 5¹ × 383¹

Step-3: 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

Step-4: Factors of 15320

List of positive integer factors of 15320 that divides 15300 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 383, 766, 1532, 1915, 3064, 3830, 7660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15300 and 15320. The biggest common factor number is the GCF number.
So the greatest common factor 15300 and 15320 is 20.

Also check out the Least Common Multiple of 15300 and 15320