I watched a show sometime back where that very solution was suggested to the man who engineered and built the Atlanta airport.
He explained the basic mathematical dynamics involved (leverage, reach, balance, weight, etc), and stated that we couldn't duplicate the Great Pyramid with the largest cranes we now possess.
The same program related the story of a Japanese consortium that set out to prove the standard theory of pyramid building, by erecting a 1/20th scale model of the Great Pyramid using the same materials and methods allegedly used by the ancients.
I guess you've already guessed that they failed completely. In the end, they were forced to abandon the project because the accepted techniques of the ancients were completely insufficient to the task. Even worse, they succumbed to using modern tools and equipment and still couldn't accomplish the job.
If we HAD to build a pyramid, we could. It is that simple. If we needed a bigger crane, we could build it. It is that simple. We don’t have any stinking leaders who insist on that sort of rubbish these days, so we haven’t tooled up for it.