I'll try and explain this using analogies. Learning science through analogies is often easier than using the scientific terminology.
Let's pretend that the letters of the human genome are represented by a complete set of encyclopedias. Now, close your eyes and pick a volume at random. Keeping your eyes closed, flip to a page. Again, keeping your eyes closed put your finger somewhere on the page. This is similar to what a virus does when it inserts into a genome. It randomly inserts into a "word" somewhere in the set, with chromosomes being the volumes. Now, ask yourself if it is probable that two people could randomly put their finger on the same letter in the same encyclopedia set. If there are 3 billion letters in an encyclopedia, the chances of two people putting their same finger on the same letter are 1 in 3 billion. Now, instead of just two people putting their finger on the same letter, imagine 6 billion people all putting their finger on the same letter. This would seem very improbable, would it not? Therefore, it is theorized that each viral insertion seen in two separate genomes at the same DNA "letter" is a one time occurence, not the result of multiple random insertions. Therefore, if two people have the same insertion they must share a common ancestor that was the originator of a single infection.
Now, what happens when two SPECIES share the same insertion? It is the same mechanism. One organism had an egg or a sperm that was invaded by a virus that inserted a dysfunctional portion of viral DNA in a specific place in the genome. This was passed on to the child, and the children of that child spread those viral genes through the population over time. When this viral insertion was spread through most of the population a speciation event occurs. Now we have two species each carrying the same viral insertion. Repeat this a few times and you get the patterns we see between humans and apes.
In conclusion, it is not a matter of sharing the same virus, but sharing the same parents. No one has ever observed a retrovirus inserting into the same letter in the genomic DNA even 2 times per 100,000 infections. There are hotspots where viruses TEND to insert, but these areas are thousands of letters in size. Also, the ancient viral sequences we see in the human genome are related to the very same viruses that we see today. Therefore, there is no support that a virus in the past was able to insert in the same exact spot for every infection. Claiming that this type of virus existed is not justified and common ancestory is the only explanation that remains.