What is the Greatest Common Factor of 30075 and 30081?

Greatest common factor (GCF) of 30075 and 30081 is 3.

GCF(30075,30081) = 3

We will now calculate the prime factors of 30075 and 30081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30075 and 30081.

How to find the GCF of 30075 and 30081?

We will first find the prime factorization of 30075 and 30081. After we will calculate the factors of 30075 and 30081 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 30081

Prime factors of 30081 are 3, 37, 271. Prime factorization of 30081 in exponential form is:

30081 = 3¹ × 37¹ × 271¹

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 30081

List of positive integer factors of 30081 that divides 30075 without a remainder.

1, 3, 37, 111, 271, 813, 10027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30075 and 30081. The biggest common factor number is the GCF number.
So the greatest common factor 30075 and 30081 is 3.

Also check out the Least Common Multiple of 30075 and 30081