What is the Greatest Common Factor of 73509 and 73521?

Greatest common factor (GCF) of 73509 and 73521 is 3.

GCF(73509,73521) = 3

We will now calculate the prime factors of 73509 and 73521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73509 and 73521.

How to find the GCF of 73509 and 73521?

We will first find the prime factorization of 73509 and 73521. After we will calculate the factors of 73509 and 73521 and find the biggest common factor number .

Step-1: Prime Factorization of 73509

Prime factors of 73509 are 3, 107, 229. Prime factorization of 73509 in exponential form is:

73509 = 3¹ × 107¹ × 229¹

Step-2: Prime Factorization of 73521

Prime factors of 73521 are 3, 7, 389. Prime factorization of 73521 in exponential form is:

73521 = 3³ × 7¹ × 389¹

Step-3: Factors of 73509

List of positive integer factors of 73509 that divides 73509 without a remainder.

1, 3, 107, 229, 321, 687, 24503

Step-4: Factors of 73521

List of positive integer factors of 73521 that divides 73509 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 389, 1167, 2723, 3501, 8169, 10503, 24507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73509 and 73521. The biggest common factor number is the GCF number.
So the greatest common factor 73509 and 73521 is 3.

Also check out the Least Common Multiple of 73509 and 73521