Answer:
The greatest common factor of the given expressions is
![11c^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y0d6d88watisnql1zqi8deo67suwiqzkx7.png)
Explanation:
Given that
![44c^5,22c^3,11c^4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zos4qbdvlqoxgo807kk4dsttlewp6uxfsu.png)
can be written as
![11* 4* c^3* c^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tzjx9j0kg6z359gr6zy0cgskzag9ijail2.png)
can be written as
![11* 2* c^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lolj95zvd83nl3e2a6k7l2whi107r2tchd.png)
and
can be written as
![11* 1* c^3* c](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4joflompcaozwmx7wtv81bif6gvzm7mal9.png)
Comparing the common factors we have
is the greatest common factor of
![44c^5,22c^3,11c^4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zos4qbdvlqoxgo807kk4dsttlewp6uxfsu.png)
Therefore the greatest common factor of the given expressions is
![11c^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y0d6d88watisnql1zqi8deo67suwiqzkx7.png)