The MMX 300 (32 ohms) is positioned for compatibility with PC, Xbox One, PS4, and mobile, and its headset cabling options support common gaming setups. The DT 770 PRO lists compatibility with desktops, laptops, TVs, car audio systems, and more, and includes a 6.35 mm adapter that can be useful with audio gear.
The biggest real-world compatibility difference is power: DT 770 PRO’s 80 ohm impedance may be less ideal on weaker outputs (some buyers mention needing an amp/DAC depending on source), while MMX 300’s 32 ohm spec is generally more forgiving.