What is the Greatest Common Factor of 73530 and 73540?

Greatest common factor (GCF) of 73530 and 73540 is 10.

GCF(73530,73540) = 10

We will now calculate the prime factors of 73530 and 73540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73530 and 73540.

How to find the GCF of 73530 and 73540?

We will first find the prime factorization of 73530 and 73540. After we will calculate the factors of 73530 and 73540 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 73540

Prime factors of 73540 are 2, 5, 3677. Prime factorization of 73540 in exponential form is:

73540 = 2² × 5¹ × 3677¹

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 73540

List of positive integer factors of 73540 that divides 73530 without a remainder.

1, 2, 4, 5, 10, 20, 3677, 7354, 14708, 18385, 36770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73530 and 73540. The biggest common factor number is the GCF number.
So the greatest common factor 73530 and 73540 is 10.

Also check out the Least Common Multiple of 73530 and 73540