What is the Greatest Common Factor of 73329 and 73335?

Greatest common factor (GCF) of 73329 and 73335 is 3.

GCF(73329,73335) = 3

We will now calculate the prime factors of 73329 and 73335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73329 and 73335.

How to find the GCF of 73329 and 73335?

We will first find the prime factorization of 73329 and 73335. After we will calculate the factors of 73329 and 73335 and find the biggest common factor number .

Step-1: Prime Factorization of 73329

Prime factors of 73329 are 3, 24443. Prime factorization of 73329 in exponential form is:

73329 = 3¹ × 24443¹

Step-2: Prime Factorization of 73335

Prime factors of 73335 are 3, 5, 4889. Prime factorization of 73335 in exponential form is:

73335 = 3¹ × 5¹ × 4889¹

Step-3: Factors of 73329

List of positive integer factors of 73329 that divides 73329 without a remainder.

1, 3, 24443

Step-4: Factors of 73335

List of positive integer factors of 73335 that divides 73329 without a remainder.

1, 3, 5, 15, 4889, 14667, 24445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73329 and 73335. The biggest common factor number is the GCF number.
So the greatest common factor 73329 and 73335 is 3.

Also check out the Least Common Multiple of 73329 and 73335