Factory pattern along with DI using Unity container

I am learning design patterns,Below is my sample code where I have implemented Factory pattern and instance creation I have delegated to Unity container Framework(DI) to build the loosely coupled system. Below is my sample code

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using Unity;

namespace DesignPatternsDemo
{
    class Program
    {
        static void Main(string[] args)
        {

            iPaymentGateway gateway = PaymentGatwayFactory.NewPaymentGatway(GateWay.SHIFT4);
            gateway.CreatePaymentGateway();
            gateway = PaymentGatwayFactory.NewPaymentGatway(GateWay.WELLSFARGO);
            gateway.CreatePaymentGateway();
            gateway = PaymentGatwayFactory.NewPaymentGatway(GateWay.PROTOBASE);
            gateway.CreatePaymentGateway();
            Console.ReadLine();
        }

        enum GateWay
        {
            PROTOBASE = 1,
            SHIFT4 = 2,
            WELLSFARGO = 3
        }

         //Factory class
        class PaymentGatwayFactory
        {
            public static iPaymentGateway NewPaymentGatway(GateWay GateWayType)
            {
                 //Dependency injection using unity container
                var container = new UnityContainer();
                iPaymentGateway result = null;
                switch (GateWayType)
                {
                    case GateWay.SHIFT4:
                        container.RegisterType<iPaymentGateway, SHIFT4Gateway>();
                        result = container.Resolve<SHIFT4Gateway>();
                        break;
                    case GateWay.WELLSFARGO:
                        container.RegisterType<iPaymentGateway, WellsFargoGateway>();
                        result = container.Resolve<WellsFargoGateway>();
                        break;
                    default:
                        container.RegisterType<iPaymentGateway, ProtobaseGateway>();
                        result = container.Resolve<ProtobaseGateway>();
                        break;
                }

                return result;
            }
        }

        class WellsFargoGateway : iPaymentGateway
        {
            public void CreatePaymentGateway()
            {
                Console.WriteLine("Implement Wells Fargo logic");
            }
        }

        class SHIFT4Gateway : iPaymentGateway
        {
            public void CreatePaymentGateway()
            {
                Console.WriteLine("Implement SHIFT4 logic");
            }
        }

        class ProtobaseGateway : iPaymentGateway
        {
            public void CreatePaymentGateway()
            {
                Console.WriteLine("Implement Protobase logic");
            }
        }

        interface iPaymentGateway
        {
            void CreatePaymentGateway();
        }
    }
}

Is this is the right way of implementing Factory pattern and using unity framework?