No, She is not correct.
Explanation:
To find the greatest common factor of the expression 20x + 100xy.
Given expression 20x + 100xy.
Let us factor the expression 20x + 100xy.
Now take the common factor in the expression 20x + 100xy.
The common factor is 20x.
So, 20x + 100xy = 20x( 1+ 5y)
But Claudia says that the greatest common factor is 20(x+5xy).
The GCF is wrong.
So, she is not correct.