how remote key of popular car brand working wide range?
Without an antenna RF does not work so you have to assume it does have an antenna.

The attenuation between transmitter and receiver increases as operating frequency rises. This fact is contained in the Friis equations for link loss: -



The important parameter I refer to is the 20log\$_{10}\$f part.

Basically if operating frequency doubles the power received quarters (20log(0.5) = -6dB).

Given that you haven't specified what the chevy key fob runs at I can make the assumption that it transmits at a frequency somewhat lower than 433 MHz. On the other hand, it may emit more power.

Without knowing power output, operating frequency and antenna types you can't really assume anything solid.