What is the greatest common factor of the terms 14c2d and 42c3d?

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 .