Geographic isolation: Darwin recognized that the different islands of the Galapagos were geographically isolated from each other, which meant that the finches on each island had evolved independently. This isolation allowed the finches to adapt to their specific environments without interbreeding with finches from other islands.
Natural selection: Darwin realized that the different beak shapes of the finches were the result of natural selection, which is the process by which certain traits become more common in a population over time because they are better suited to the environment. In the case of the finches, the beaks that were best adapted to a particular food source allowed the birds that possessed them to survive and reproduce more successfully than birds with less well-adapted beaks.
These observations led Darwin to develop his theory of evolution by natural selection, which he first published in his book "On the Origin of Species" in 1859.