What is the Greatest Common Factor of 73533 and 73548?

Greatest common factor (GCF) of 73533 and 73548 is 3.

GCF(73533,73548) = 3

We will now calculate the prime factors of 73533 and 73548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73533 and 73548.

How to find the GCF of 73533 and 73548?

We will first find the prime factorization of 73533 and 73548. After we will calculate the factors of 73533 and 73548 and find the biggest common factor number .

Step-1: Prime Factorization of 73533

Prime factors of 73533 are 3, 127, 193. Prime factorization of 73533 in exponential form is:

73533 = 3¹ × 127¹ × 193¹

Step-2: Prime Factorization of 73548

Prime factors of 73548 are 2, 3, 227. Prime factorization of 73548 in exponential form is:

73548 = 2² × 3⁴ × 227¹

Step-3: Factors of 73533

List of positive integer factors of 73533 that divides 73533 without a remainder.

1, 3, 127, 193, 381, 579, 24511

Step-4: Factors of 73548

List of positive integer factors of 73548 that divides 73533 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 227, 324, 454, 681, 908, 1362, 2043, 2724, 4086, 6129, 8172, 12258, 18387, 24516, 36774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73533 and 73548. The biggest common factor number is the GCF number.
So the greatest common factor 73533 and 73548 is 3.

Also check out the Least Common Multiple of 73533 and 73548