Yes — with 10.2 GB to spare

Gemma 4 31B at Q4_K_M fits your GeForce RTX 5090 entirely on the GPU at 8K context, at an estimated 62 tokens per second. Past 73K the KV cache pushes it over — quantise the cache to q8_0, or step down a quantisation, to go longer.

Fully on GPU 8K context Q4_K_M · 17.6 GB Apache 2.0 Released 2 Apr 2026 Vision

The dense flagship: strongest maths of the 24–32 GB class (89% AIME), clean prose, vision. Q4 is a tight 24 GB fit.

What hardware do I need for Gemma 4 31B? →

The VRAM budget

weights 17.6 GB
Weights 17.6 GB KV cache @ 8K 2.03 GB Runtime overhead 0.6 GB Free 10.2 GB of 30.4 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
Q8_0 31.0 GB 33.6 GB ~8.8 −0.1% ppl 3.2 GB over
Q6_K 23.9 GB 26.5 GB 32K 45 −0.4% ppl Long context
Q5_K_M 20.7 GB 23.3 GB 53K 53 −0.8% ppl Long context
Q4_K_M 17.6 GB 20.2 GB 73K 62 −1.9% ppl Recommended
Q3_K_M 14.2 GB 16.9 GB 94K 76 −5.4% ppl Long context
Q2_K 12.2 GB 14.8 GB 107K 89 −15% ppl Long context

Quality is the published perplexity delta against f16 weights. Max context assumes an f16 KV cache; q8_0 roughly doubles it. This model interleaves sliding-window layers (1024 tokens, 10 of 60 layers global), which is why its cache barely grows with context.

How to run it

terminal
$ ollama pull gemma4:31b
$ OLLAMA_CONTEXT_LENGTH=8192 \
    ollama run gemma4:31b

The default. One binary, a model registry, an OpenAI-compatible port. More on Ollama.

01Download is 17.6 GB. Keep it on an SSD — a first load off a spinning disk takes minutes.
02Close anything else holding VRAM. A browser with hardware acceleration can sit on 1–2 GB.
03There is room to go to 73K context on this card.
See all models for this rig Compare with another model