What is the Greatest Common Factor of 73525 and 73530?

Greatest common factor (GCF) of 73525 and 73530 is 5.

GCF(73525,73530) = 5

We will now calculate the prime factors of 73525 and 73530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73525 and 73530.

How to find the GCF of 73525 and 73530?

We will first find the prime factorization of 73525 and 73530. After we will calculate the factors of 73525 and 73530 and find the biggest common factor number .

Step-1: Prime Factorization of 73525

Prime factors of 73525 are 5, 17, 173. Prime factorization of 73525 in exponential form is:

73525 = 5² × 17¹ × 173¹

Step-2: 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-3: Factors of 73525

List of positive integer factors of 73525 that divides 73525 without a remainder.

1, 5, 17, 25, 85, 173, 425, 865, 2941, 4325, 14705

Step-4: Factors of 73530

List of positive integer factors of 73530 that divides 73525 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73525 and 73530. The biggest common factor number is the GCF number.
So the greatest common factor 73525 and 73530 is 5.

Also check out the Least Common Multiple of 73525 and 73530