To factor the expression \( 36q + 27r + 36 \), we first look for the greatest common factor (GCF) of the coefficients 36, 27, and 36.
The GCF of these numbers is 9.
Now we can factor out 9 from the entire expression:
\[ 36q + 27r + 36 = 9(4q + 3r + 4) \]
Thus, the factored form of \( 36q + 27r + 36 \) is:
\[ \boxed{9(4q + 3r + 4)} \]