To factor the expression \( 9q - 63r \), we first look for the greatest common factor (GCF) of the two terms.
The coefficients are 9 and -63. The GCF of 9 and 63 is 9.
Now, we can factor \( 9 \) out of each term:
\[ 9q - 63r = 9(q - 7r) \]
So, the factored form of the expression \( 9q - 63r \) is:
\[ \boxed{9(q - 7r)} \]
Here, \( 9 \) is the whole number greater than 1 that we factored out.