All ASP.NET Web API controllers return 404

I'm trying to get an API Controller to work inside an ASP.NET MVC 4 web app. However, every request results in a 404 and I'm stumped. :/

I have the standard API controller route from the project template defined like:

public static class WebApiConfig
{
    public static void Register(HttpConfiguration config)
    {
        config.Routes.MapHttpRoute(
            name: "DefaultApi",
            routeTemplate: "api/{controller}/{id}",
            defaults: new { id = RouteParameter.Optional }
        );
    }
}

The registration is invoked in Global.asax:

protected void Application_Start()
{
    AreaRegistration.RegisterAllAreas();

    // Register API routes
    WebApiConfig.Register(GlobalConfiguration.Configuration);

    FilterConfig.RegisterGlobalFilters(GlobalFilters.Filters);

    RouteConfig.RegisterRoutes(RouteTable.Routes);
}

I have a basic API controller like this:

namespace Website.Controllers
{
    public class FavoritesController : ApiController
    {       
        // GET api/<controller>
        public IEnumerable<string> Get()
        {
            return new [] { "first", "second" };
        }

        // PUT api/<controller>/5
        public void Put(int id)
        {

        }

        // DELETE api/<controller>/5
        public void Delete(int id)
        {

        }
    }
}

Now, when I browse to localhost:59900/api/Favorites I expect the Get method to be invoked, but instead I get a 404 status code and the following response:

<Error>
   <Message>
       No HTTP resource was found that matches the request URI 'http://localhost:59900/api/Favorites'.
   </Message>
   <MessageDetail>
      No type was found that matches the controller named 'Favorites'.
   </MessageDetail>
</Error>

Any help would be greatly appreciated, I'm losing my mind a little bit over here. :) Thanks!

One thing I ran into was having my configurations registered in the wrong order in my GLobal.asax file for instance:

Right Order:

AreaRegistration.RegisterAllAreas();
WebApiConfig.Register(GlobalConfiguration.Configuration);
FilterConfig.RegisterGlobalFilters(GlobalFilters.Filters);
RouteConfig.RegisterRoutes(RouteTable.Routes);

Wrong Order:

AreaRegistration.RegisterAllAreas();
FilterConfig.RegisterGlobalFilters(GlobalFilters.Filters);
RouteConfig.RegisterRoutes(RouteTable.Routes);
WebApiConfig.Register(GlobalConfiguration.Configuration);

Just saying, this was my problem and changing the order is obvious, but sometimes overlooked and can cause much frustration.