[zasterguava]

"without private ownership of the factors of production..."

If you read guys like Proudhon you will realise that the sort of anarchism Chosmky talks about leads to all sorts of proposals for how the factors of production can be privately owned and not by forced equal means, for example Proudhon;
"In his treatise What is Property?(1849), Proudhon answers with "Property is theft!" In natural resources, he sees two conceivable types of property, de jure property and de facto property, and argues that the former is illegitimate. Proudhon's fundamental premise is that equality of condition is the essence of justice. "By this method of investigation, we soon see that every argument which has been invented in behalf of property, whatever it may be, always and of necessity leads to equality; that is, to the negation of property."[3] But unlike the statist socialists of his time, Proudhon's solution is not to give each person an equal amount of property, but to deny the validity of legal property in natural resources altogether.

His analysis of the product of labor upon natural resources as property (usufruct) is more nuanced. He asserts that land itself cannot be property, yet it should be held by individual possessors as stewards of mankind with the product of labor being the property of the producer. Like most theorists of his time, both capitalist and socialist, he assumed the labor theory of value to be correct. Thus, Proudhon reasoned, any wealth gained without labor was stolen from those who labored to create that wealth. Even a voluntary contract to surrender the product of labor to an employer was theft, according to Proudhon, since the controller of natural resources had no moral right to charge others for the use of that which he did not labor to create and therefore did not own.

Proudhon's theory of property greatly influenced the budding socialist movement, inspiring anarchist theorists such as Bakunin who modified Proudhon's ideas, as well as antagonizing theorists like Marx."

probably not the best example as proudhons position on property was complex and not as simple as his famous 'property is theft' decleration.