What is the Greatest Common Factor of 73530 and 73539?

Greatest common factor (GCF) of 73530 and 73539 is 9.

GCF(73530,73539) = 9

We will now calculate the prime factors of 73530 and 73539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73530 and 73539.

How to find the GCF of 73530 and 73539?

We will first find the prime factorization of 73530 and 73539. After we will calculate the factors of 73530 and 73539 and find the biggest common factor number .

Step-1: Prime Factorization of 73530

Prime factors of 73530 are 2, 3, 5, 19, 43. Prime factorization of 73530 in exponential form is:

73530 = 2¹ × 3² × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 73539

Prime factors of 73539 are 3, 8171. Prime factorization of 73539 in exponential form is:

73539 = 3² × 8171¹

Step-3: Factors of 73530

List of positive integer factors of 73530 that divides 73530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 43, 45, 57, 86, 90, 95, 114, 129, 171, 190, 215, 258, 285, 342, 387, 430, 570, 645, 774, 817, 855, 1290, 1634, 1710, 1935, 2451, 3870, 4085, 4902, 7353, 8170, 12255, 14706, 24510, 36765

Step-4: Factors of 73539

List of positive integer factors of 73539 that divides 73530 without a remainder.

1, 3, 9, 8171, 24513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73530 and 73539. The biggest common factor number is the GCF number.
So the greatest common factor 73530 and 73539 is 9.

Also check out the Least Common Multiple of 73530 and 73539