Answer
6
Work Step by Step
First, we express each number as a product of its prime factors:
$48=2\times2\times2\times2\times3$
$66=2\times3\times11$
$78=2\times3\times13$
Since a single 2 and a single 3 is common to all of the numbers, the Greatest Common Factor$=2\times3=6$