What is the Greatest Common Factor of 30390 and 30405?

Greatest common factor (GCF) of 30390 and 30405 is 15.

GCF(30390,30405) = 15

We will now calculate the prime factors of 30390 and 30405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30390 and 30405.

How to find the GCF of 30390 and 30405?

We will first find the prime factorization of 30390 and 30405. After we will calculate the factors of 30390 and 30405 and find the biggest common factor number .

Step-1: Prime Factorization of 30390

Prime factors of 30390 are 2, 3, 5, 1013. Prime factorization of 30390 in exponential form is:

30390 = 2¹ × 3¹ × 5¹ × 1013¹

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 30390

List of positive integer factors of 30390 that divides 30390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1013, 2026, 3039, 5065, 6078, 10130, 15195

Step-4: Factors of 30405

List of positive integer factors of 30405 that divides 30390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30390 and 30405. The biggest common factor number is the GCF number.
So the greatest common factor 30390 and 30405 is 15.

Also check out the Least Common Multiple of 30390 and 30405