Identify the greatest common factor of \( 3 a b z \) and \( 11 w y \).

To find the greatest common factor (GCF) of two expressions, we look for the factors that they share. The expression \( 3 a b z \) is comprised of the factors 3, \( a \), \( b \), and \( z \), while \( 11 w y \) consists of the factors 11, \( w \), and \( y \). Since 3 and 11 are both prime numbers and do not share any common factors, along with the variables not being shared between the two expressions, the GCF is simply 1. Thus, the GCF of \( 3 a b z \) and \( 11 w y \) is \( 1 \).