Most tourists wanting to see the Great Wall of China visit Badaling, the part of the wall which is located not far from Beijing. If you want to just look at the wall and take your photo with it behind you, Badaling will be the right decision. However, note that about 30,000 visitors go through this section of the wall daily. Sure enough, a couple of thousand of them will be on your photo along with you.
This is a big problem for us because we always want not only to see, but to feel any ancient construction. So we started to seek unreconstructed parts of the Great Wall. For us, two of them were appropriate: Jiankou Great Wall and Jinshanling Great Wall.