Answer
12
Work Step by Step
The factors of $48$ are:
{$1,2,3,4,6,8,12,16,24,48$}
The factors of $60$ are:
{$1,2,3,4,5,6,10,12,15,20,30,60$}
The factors of $84$ are:
{$1,2,3,4,6,7,12,14,21,28,42,84$}
Amongst all three sets, the greatest common factor is $12$.