If you want to download pictures from Facebook on your Samsung Galaxy S5 and save them, then you must proceed as follows:
Open the Android Browser on your Samsung Galaxy S5 and within this browse to the website www.facebook.com. If Facebook is open you can display the image that you would like to download to your smartphone.
Under the picture you will find a link with "Show original size". Tap on this link and the image will be shown in full size on the Samsung Galaxy S5. Now you can download and save the image.
Tap once long on the image until a small pop-up appears. In this one you can now select "Save Image". The download of the Facebook image will now automatically start. The downloaded image, is saved in the “Downloads” folder.
You now know how to download and save Facebook pictures on the Samsung Galaxy S5.