Object factory pattern in node.js

I came across a case while refactoring a piece of code that required me to use object factory pattern in nodejs. So I tried my hands with this pattern in sample code and came up with some doubts.

factoryTest.js

var createFactory = require("./createFactory").createObjects();

var helloWorldObject = createFactory.helloWorld("userOne");
console.log("helloWorldObject: "+JSON.stringify(helloWorldObject));

var byeWorldObject = createFactory.byeWorld("userTwo", 22);
console.log("helloWorldObject: "+JSON.stringify(helloWorldObject));
console.log("byeWorldObject: "+JSON.stringify(byeWorldObject));

createFactory.js

var createObjects = function() {
    console.log("received a request to create new object.")
    this.localObject = {};
};

createObjects.prototype.helloWorld = function(name){
    this.localObject = {};      // CASE 1 <<<--- how can this be removed?
    this.localObject.name = name;
    this.localObject.greeting = "Hello " +name;
    return this.localObject;
};

createObjects.prototype.byeWorld = function(name, age){
    this.localObject = {};      // CASE 2 <<<--- how can this be removed?
    this.localObject.name = name;
    this.localObject.age= age;
    this.localObject.greeting = "Bye " +name;
    return this.localObject;
};

exports.createObjects = function(){
    return new createObjects();
}

1. Is the way of calling and creating new objects as per object factory design pattern?
2. Can CASE 1 and CASE 2 creation as empty object be removed from helloWorld and byeWorld(marked as a comment in code above)?
3. Does factory pattern create a single object that gets used with each request OR Does factory pattern create new objects for each request as "new"?

Output when CASE1 and CASE2 are kept as is

received a request to create new object.
helloWorldObject: {"name":"userOne","greeting":"Hello userOne"}
helloWorldObject: {"name":"userOne","greeting":"Hello userOne"}
byeWorldObject: {"name":"userTwo","age":22,"greeting":"Bye userTwo"}

Output when CASE1 and CASE2 are removed

received a request to create new object.
helloWorldObject: {"name":"userOne","greeting":"Hello userOne"}
helloWorldObject: {"name":"userTwo","greeting":"Bye userTwo","age":22}
byeWorldObject: {"name":"userTwo","greeting":"Bye userTwo","age":22}