For this case we have that by definition, the Greatest Common Factor (GCF) is the largest factor that 2 numbers have in common.
So, we have the following expressions:
![42a ^ 5b ^ 3\\35a ^ 3b ^ 4\\42ab ^ 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jge0qh3r8xr24rvk3t2sxxnjspzddeajvu.png)
We look for the positive integers that divide to 35 and 42 without leaving residue:
42: 1,2,3,6,7,14,21
35: 1,5,7
Thus, the GCF of 42 and 35 is 7
Then, the GCF of the three expressions is:
![7ab ^ 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qt7bn45iato02fmzkhd4zeai2a2iq26z2e.png)
Answer:
![7ab ^ 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qt7bn45iato02fmzkhd4zeai2a2iq26z2e.png)