Answer
$(x+1)^{1/2}$
Work Step by Step
Examine the two terms and compare $(x+1)^{1/2}$ and $(x+1)^{3/2}$. Since $\frac{3}{2}\gt\frac{1}{2}$, we choose the term with the lower power to be the greatest common factor of the two terms. Thus, $(x+1)^{1/2}$ is the answer.
