linguistics question that occurred to me earlier today

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Are there any two natural languages that, when put next to each other for comparison, have no phonemes in common?
If there aren't, which two languages have the fewest?
What about considering consonant inventories and vowel inventories separately?

As an example, my first instinct was to go for Mohawk since it's the only language I know of to have no labials, and comparing it to N?ng yields five consonants in common (/k/, /l/, /h/, /s/, and the glottal stop) and (as far as I can see) no vowels.

https://en.wikipedia.org/wiki/Mohawk_language
https://en.wikipedia.org/wiki/N%C7%81ng_language

Are there any other pairs of languages with less overlap than that?
Not sure if this goes on /sci/ or /his/; let me know if this is the wrong place or if I worded something retardedly.