14c^(2)d &(+) 42c^(3)d
This factors to
14c^(2)d(1 + 3c)
Hence the GCF is 14c^(2)d
Method
We have '14' & '3 X 14 = 42'. So '14' is a common factor
We have c^(2) = c X c & c^(3) = c X c X c . Sp c^(2) is a common factor.
Finally we have 'd' & 'd' . So 'd' is the final common factor.
Combining 14 x c^(2) X d
= 14c^(2)d as the GCF .