Is it permissible to give the address of a seller of a machine to another factory, knowing that the machine is available from other suppliers, and to receive a commission in return for that, and is this considered a betrayal of the current factory?

If you direct a factory to your friend to buy a machine that is available there and also elsewhere, and you receive an amount in exchange for this direction, then this is permissible. This amount is considered a commission or brokerage fee, and it is permissible for it to be a fixed sum or a percentage of the value of the sold item. If this commission does not increase the price of the item for the buyer, and it does not harm others who sell the same item, then this is permissible. However, if the commission leads to an increase in the price of the item for the buyer, then it is not permissible to take it.