Final answer:
The lowest common factor of the given expressions c⁴d³, c²d⁵, cd is c * d³.
Step-by-step explanation:
To find the lowest common factor of the given expressions c⁴d³, c²d⁵, cd, we need to determine the highest power of each variable that is common to all the expressions. In this case, the variable c appears in all the expressions, and the highest power of c is c. The variable d appears in all the expressions as well, and the highest power of d is d³. Therefore, the lowest common factor is c * d³, which can be written as c * d * d².