What is the Greatest Common Factor of 73530 and 73535?

Greatest common factor (GCF) of 73530 and 73535 is 5.

GCF(73530,73535) = 5

We will now calculate the prime factors of 73530 and 73535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73530 and 73535.

How to find the GCF of 73530 and 73535?

We will first find the prime factorization of 73530 and 73535. After we will calculate the factors of 73530 and 73535 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 73535

Prime factors of 73535 are 5, 7, 11, 191. Prime factorization of 73535 in exponential form is:

73535 = 5¹ × 7¹ × 11¹ × 191¹

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 73535

List of positive integer factors of 73535 that divides 73530 without a remainder.

1, 5, 7, 11, 35, 55, 77, 191, 385, 955, 1337, 2101, 6685, 10505, 14707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73530 and 73535. The biggest common factor number is the GCF number.
So the greatest common factor 73530 and 73535 is 5.

Also check out the Least Common Multiple of 73530 and 73535