  In this note, we prove the existence of a set of $n$-fold Pfister forms of
cardinality $2^n$ over $\mathbb{C}(x_1,\dots,x_n)$ which do not share a common
$(n-1)$-fold factor. This gives a negative answer to a question raised by
Becher. The main tools are the existence of the dyadic valuation on the complex
numbers and recent results on symmetric bilinear over fields of characteristic
2.
