Step 1: Understanding the Concept
Intensive properties do not depend on the amount of substance, while extensive properties do.
Step 2: Check cell potential
Standard cell potential \(E^{\circ}\) is intensive, and electrode potential depends on salt concentration (Nernst equation), so the first two statements are true.
Step 3: Check free energy
\(\Delta G^{\circ}=-nFE^{\circ}\) depends on \(n\), the number of electrons, so it is an extensive property. Calling it intensive is false.
Step 4: Last statement
Electrical work obtained from a galvanic cell equals the decrease in Gibbs energy, which is true.
Final Answer:
The false statement is that standard free energy change is intensive.
\[ \boxed{\text{(C) }\text{Standard free energy change of cell is an intensive property.}} \]