iPhone latest firmwares (iOS)

Updated: November 26, 2013***
     * Latest iOS version right now  for iPhone 3GS is 6.1.3
     * The new iOS 7 is finally out! Supported models: iPhone 4, 4S, 5, 5C, 5S
     * iOS 7.0.4 firmware fixed is out! with FaceTime bug fix
If you wanted to check the changelog for this build please visit: Improvements, changes and bug fixes

Please note that if you are to use Safari browser you must disable the auto unzip feature. It might be easier to just use Firefox browser. 

iPhone 2G

Model: A1203
 Latest iOS:  3.1.3 Link: 3.1.3/7E18

iPhone 3G

Model: A1241
Latest iOS: 4.2.1 Link: 4.2.1/8C148

iPhone 3GS

Model: A1303, A1303A/A1303B
Latest iOS: 6.1.3 Link: 6.1.3/10B349

iPhone 4

Model: A1332 (GSM)
(8 GB) : Latest: iOS:  7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511_Restore.ipsw
           7.0.2 Link: 7.0.2/11A501
           7.0.0 Link: 7.0.0/11A465
             6.1.3 Link: 6.1.3/10B329
International - Latest iOS: 7.0.4 Link: 7.0.4/11B554a

Older: 7.0.3 Link: 7.0.3/11B511_Restore.ipsw
            7.0.2 Link: 7.0.2/11A501
            7.0.0 Link: 7.0.0/11A465
             6.1.3 Link: 6.1.3/10B329

Model: A1349 (CDMA)
 Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511_Restore.ipsw
            7.0.2 Link: 7.0.2/11A501 
            7.0.0 Link: 7.0.0/11A465
            6.1.3 Link: 6.1.3/10B329

iPhone 4S

Model: A1387
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501 
            7.0.0 Link: 7.0.0/11A465
            6.1.3 Link: 6.1.3/10B329

iPhone 5

Model: A1428 (GSM)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501
            7.0.0 Link: 7.0.0/11A465

              6.1.4 Link: 6.1.4/10B350
              6.1.3 Link: 6.1.3/10B329

Model: A1429 (CDMA+GSM)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a

Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501 
            7.0.0 Link: 7.0.0/11A465 
            6.1.4 Link: 6.1.4/10B350
            6.1.3 Link: 6.1.3/10B329

iPhone 5C

Model: A1532 (GSM/North America)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501
            7.0.1 Link: 7.0.1/11A470a

Model:  A1532 (CDMA/Verizon)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501 
            7.0.1 Link: 7.0.1/11A470a

Note From www.everymac.com

As the above makes clear, two of the models -- both distributed in the US -- are the difficult ones to identify as they both share the same A1532 model number. As a result, if the iPhone will boot, the most convenient way to conclusively identify a specific A1532 iPhone 5c model is with the Order Number -- which Apple refers to as the "Model" within the iOS -- or the last four characters of its Serial Number listed in software.
To find the "Model" and Serial Number, click the "Settings" icon on the homescreen and select General > About and then scroll until "Model" or "Serial Number is visible. If the A1532 iPhone 5c will not boot, the only option is to refer to the serial number listed within the Nano SIM carrier. The "Model" identifier looks like ME505LL, which specifically refers to the GSM version of the A1532 iPhone 5c in white with 16 GB of storage and locked to AT&T.

iPhone 5S

Model: A1533 (GSM/North America)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
Older: 7.0.2 Link: 7.0.2/11A501
            7.0.1 Link: 7.0.1/11A470a

Model:  A1533 (CDMA/Verizon)
Latest iOS: 7.0.4 Link: 7.0.4/11B554a
Older: 7.0.3 Link: 7.0.3/11B511
            7.0.2 Link: 7.0.2/11A501
            7.0.1 Link: 7.0.1/11A470a 
 
iPhone model lookup @apple.com

http://support.apple.com/kb/HT3939

Note: These are the latest firmwares available at the moment, please check the model number of your device for the the right iOS. All links are taken directly from apple server. Copyright belongs exclusively to apple and its affiliates, no copyright infringement intended.

How to update manually?

Open iTunes: on windows hold down shift; on mac the alt key then click restore button a new dialog box will appear, browse to the location of the IPSW/firmware which you have downloaded click the file then hit enter..

By restoring or updating your iPhone firmware you will lose everything on the process so make sure you do the necessary backups of your photos, videos, contacts, apps, etc, before proceeding.