For this case we have that by definition, the GCF of two or more numbers, is given by the greatest factor that divides the numbers without leaving remainder.
In this case we have the following expressions:
[tex]25abc ^ 2\\40a ^ 2bc[/tex]
We find the factors of 25 and 40:
[tex]25: 1,5,25\\40: 1,2,4,5,8,10,20,40[/tex]
Thus, the GCF of the numbers is 5
On the other hand, it is observed that the variables "a, b and c" are common for both expressions. So the GCF of the monomials is:
[tex]5abc[/tex]
Answer:
[tex]5abc[/tex]
