It is known that the coefficients of the monomials appearing in a Schubert polynomial ( https://en.wikipedia.org/wiki/Schubert_polynomial ) are always positive. My question is : Is it always true that atleast one such coefficient must be $1$ ? If that is not always true, then is it true that the gcd of the coefficients of the monomials appearing in a Schubert polynomial must always be $1$ ?