Answer
$21$.
Work Step by Step
The given numbers are
$42,63$
Prime factorization of each number is
$42=2\cdot 3 \cdot 7$
$63=3\cdot 3 \cdot 7 $
Common prime factors are
$=3 \cdot 7 $
Simplify.
$=21$
Hence, the greatest common factor is $21$.