To factor out the greatest common factor (GCF) from the polynomial \(16d^2 - 36d\), we first identify the GCF of the coefficients and the variable terms.
The coefficients are 16 and 36. The GCF of 16 and 36 is 4.
The variable terms are \(d^2\) and \(d\). The GCF of \(d^2\) and \(d\) is \(d\).
Thus, the GCF of the entire expression \(16d^2 - 36d\) is \(4d\).
Now we factor that out:
\[ 16d^2 - 36d = 4d(4d - 9) \]
So the factored form of the polynomial is:
\[ 4d(4d - 9) \]