What determines the magnitude of the atmospheric scale height of a planet?
<https://en.wikipedia.org/wiki/Scale_height> says that:
"Approximate atmospheric scale heights for selected Solar System bodies follow.

```
Venus: 15.9 km
Earth: 8.5 km
Mars: 11.1 km
Jupiter: 27 km
Saturn: 59.5 km
Titan: 21 km
Uranus: 27.7 km
Neptune: 19.1–20.3 km
Pluto: ~50 km

```

I would have thought that a massive planet like Jupiter, with it's very strong surface gravity would have a scale height that with a smaller magnitude. But it's scale height is just over three times that of earth's. And Saturn, another massive planet has an even bigger scale height, that is just over seven times that of earth's.

If it's possible, please put it in layman's terms or easy (elementary or middle school)math while remaining rigorous.