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Can I run Gemma-4-31B-Humanlike-Chat-GGUF on a Mac with 36 GB?

Yes

Its Q4_K_M file (18.7 GB) fits in the 24.0 GB a Mac with 36 GB can use, with room for ≈ 11K tokens of context.

Full analysis of Gemma-4-31B-Humanlike-Chat-GGUF Everything that runs on Mac with 36 GB Get the Q4_K_M file on Hugging Face
ollama run hf.co/LessThanThreeAI/Gemma-4-31B-Humanlike-Chat-GGUF:Q4_K_M

Files and context on Mac with 36 GB

Each file of Gemma-4-31B-Humanlike-Chat-GGUF (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn Mac with 36 GB Context (16-bit)Context (8-bit)
BF1661.4 GBDoesn't fit——
Q8_032.6 GBDoesn't fit——
Q6_K25.2 GBDoesn't fit——
Q5_K_M21.8 GBDoesn't fit1K8K
Q4_K_M18.7 GBFits11K27K
IQ4_XS16.7 GBFits17K38K

Gemma-4-31B-Humanlike-Chat-GGUF on other hardware

Popular models that run on Mac with 36 GB

Assumes 67% of the Mac's memory is usable (macOS's default limit for the GPU; it can be raised) and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.