How to factory unlock iphone4 ios 6.1.3?

I would like to know if i can factory unlock my iphone 4 ios 6.1.3 without jailbreaking it and downloading cydia and if i have to jailbreak, how do i jailbreak it?

I'm not sure about Cydia. But if you need to unlock your iPhone 4 without jailbreaking. I would suggest you with remote unlocking service. This is a permanent unlocking method. You can visit http://www.simpleunlocking.com/apple-iphone-4/rs16wp9/ to get the remote unlocking service for your iPhone 4. You can also visit http://www.mobileunlockguide.com/apple-iphone-4 to get free the instructions on remote unlocking service.

Thank you @ALEX Got my phone jailbreak unlocked within overnight and didn't faced any kindly of problem at all when connected to iTunes as shown.

@ALEX thanks it works!