What is the greatest common factor that can be removed from:

15x^35 - 18x^28 + 27x^12?

15 = 3*5.

18 = 3*3*2.
27 = 3*3*3.
GCF = 3x^12.

To find the greatest common factor that can be removed from the given expression 15x^35 - 18x^28 + 27x^12, we need to find the highest power of x that divides into all three terms.

Step 1: Look for the common factors of the coefficients (numbers):
The coefficients of the terms are 15, 18, and 27. The common factors of these numbers are 1, 3, and 9.

Step 2: Look for the common factors of the variables (x):
The variables in the terms are x^35, x^28, and x^12. The common factor in the powers of x is x^12 since it is the smallest power of x.

Step 3: Combine the common factors:
The greatest common factor that can be removed is the product of the common factors of the coefficients and the common factors of the variables.
So, the greatest common factor that can be removed from 15x^35 - 18x^28 + 27x^12 is 9x^12.

To find the greatest common factor (GCF) that can be removed from the given expression, we need to look for the highest power of x that can be factored out from each term.

Let's begin by factoring out the GCF individually from each term:

15x^35:
The coefficient 15 is a common factor.
The variable x is raised to the highest power (x^35).

18x^28:
The coefficient 18 is divisible by 3, which is also a factor of 15.
The variable x is raised to the highest power (x^28).

27x^12:
The coefficient 27 is divisible by 3, which is also a factor of 15.
The variable x is raised to the highest power (x^12).

From the analysis above, we can see that the GCF that can be removed from all the terms is 3x^12.

Therefore, the greatest common factor that can be removed from the given expression is 3x^12.