Yes — with 4.6 GB to spare

Qwen3 32B at Q4_K_M fits your CPU only · DDR4 dual-channel entirely on the GPU at 8K context, at an estimated 1.2 tokens per second. Past 26K 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 · 18.4 GB Apache 2.0 Released Apr 2025

The classic 24 GB target, and still the strongest local translator under 70B. Qwen3.8 27B is smaller and better at everything else.

What hardware do I need for Qwen3 32B? →

The VRAM budget

weights 18.4 GB
Weights 18.4 GB KV cache @ 8K 2.00 GB Runtime overhead 0.6 GB Free 4.6 GB of 25.6 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
Q8_0 32.5 GB 35.1 GB ~0.7 −0.1% ppl 9.5 GB over
Q6_K 25.0 GB 27.6 GB ~0.9 −0.4% ppl 2.0 GB over
Q5_K_M 21.7 GB 24.3 GB 13K 1.0 −0.8% ppl Fits
Q4_K_M 18.4 GB 21.0 GB 26K 1.2 −1.9% ppl Recommended
Q3_K_M 14.9 GB 17.5 GB 40K 1.4 −5.4% ppl Long context
Q2_K 12.8 GB 15.4 GB 48K 1.7 −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.

How to run it

terminal
$ llama-server \
    -hf Qwen/Qwen3-32B:Q4_K_M \
    -c 8192 -ngl 99

The engine underneath most of the others. Every knob is exposed. More on llama.cpp.

01Download is 18.4 GB. Keep it on an SSD — a first load off a spinning disk takes minutes.
02With no GPU, thread count matters more than clock. Start at one thread per physical core.
03There is room to go to 26K context on this card.
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