What is the Greatest Common Factor of 30075 and 30093?

Greatest common factor (GCF) of 30075 and 30093 is 3.

GCF(30075,30093) = 3

We will now calculate the prime factors of 30075 and 30093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30075 and 30093.

How to find the GCF of 30075 and 30093?

We will first find the prime factorization of 30075 and 30093. After we will calculate the factors of 30075 and 30093 and find the biggest common factor number .

Step-1: Prime Factorization of 30075

Prime factors of 30075 are 3, 5, 401. Prime factorization of 30075 in exponential form is:

30075 = 3¹ × 5² × 401¹

Step-2: Prime Factorization of 30093

Prime factors of 30093 are 3, 7, 1433. Prime factorization of 30093 in exponential form is:

30093 = 3¹ × 7¹ × 1433¹

Step-3: Factors of 30075

List of positive integer factors of 30075 that divides 30075 without a remainder.

1, 3, 5, 15, 25, 75, 401, 1203, 2005, 6015, 10025

Step-4: Factors of 30093

List of positive integer factors of 30093 that divides 30075 without a remainder.

1, 3, 7, 21, 1433, 4299, 10031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30075 and 30093. The biggest common factor number is the GCF number.
So the greatest common factor 30075 and 30093 is 3.

Also check out the Least Common Multiple of 30075 and 30093