What is the Greatest Common Factor of 30399 and 30405?

Greatest common factor (GCF) of 30399 and 30405 is 3.

GCF(30399,30405) = 3

We will now calculate the prime factors of 30399 and 30405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30399 and 30405.

How to find the GCF of 30399 and 30405?

We will first find the prime factorization of 30399 and 30405. After we will calculate the factors of 30399 and 30405 and find the biggest common factor number .

Step-1: Prime Factorization of 30399

Prime factors of 30399 are 3, 10133. Prime factorization of 30399 in exponential form is:

30399 = 3¹ × 10133¹

Step-2: Prime Factorization of 30405

Prime factors of 30405 are 3, 5, 2027. Prime factorization of 30405 in exponential form is:

30405 = 3¹ × 5¹ × 2027¹

Step-3: Factors of 30399

List of positive integer factors of 30399 that divides 30399 without a remainder.

1, 3, 10133

Step-4: Factors of 30405

List of positive integer factors of 30405 that divides 30399 without a remainder.

1, 3, 5, 15, 2027, 6081, 10135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30399 and 30405. The biggest common factor number is the GCF number.
So the greatest common factor 30399 and 30405 is 3.

Also check out the Least Common Multiple of 30399 and 30405