For this case we have that by definition, the Greatest Common Factor or GCF, is the largest factor that divides two numbers and the remainder is zero.
We find the factors of 46 and 34:
![46: 1, 2, 23,46\\34: 1,2,17,34](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hsweknesljxxku1292jwasy4mo700c3vm9.png)
Thus, the GCF of both numbers is 2.
So, the GCF of both expressions is:
![2g ^ 2h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bs7kn4u3zv79u9nn7nofmgimanyn95zkre.png)
Answer:
![2g ^ 2h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bs7kn4u3zv79u9nn7nofmgimanyn95zkre.png)