What is the Greatest Common Factor of 30075 and 30087?

Greatest common factor (GCF) of 30075 and 30087 is 3.

GCF(30075,30087) = 3

We will now calculate the prime factors of 30075 and 30087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30075 and 30087.

How to find the GCF of 30075 and 30087?

We will first find the prime factorization of 30075 and 30087. After we will calculate the factors of 30075 and 30087 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 30087

Prime factors of 30087 are 3, 3343. Prime factorization of 30087 in exponential form is:

30087 = 3² × 3343¹

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 30087

List of positive integer factors of 30087 that divides 30075 without a remainder.

1, 3, 9, 3343, 10029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30075 and 30087. The biggest common factor number is the GCF number.
So the greatest common factor 30075 and 30087 is 3.

Also check out the Least Common Multiple of 30075 and 30087