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Can I run Qwen3-8B-GGUF on an RTX 4060?

Yes, just

Its Q5_K_M file (5.85 GB) fits in the 7.20 GB an RTX 4060 can use, with room for ≈ 9K tokens of context.

Full analysis of Qwen3-8B-GGUF Everything that runs on RTX 4060 Get the Q5_K_M file on Hugging Face
ollama run hf.co/Qwen/Qwen3-8B-GGUF:Q5_K_M

Files and context on RTX 4060

Each file of Qwen3-8B-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 RTX 4060 Context (16-bit)Context (8-bit)
Q8_08.71 GBDoesn't fit——
Q6_K6.73 GBDoesn't fit3K6K
Q5_K_M5.85 GBTight9K18K
Q5_05.72 GBFits10K20K
Q4_K_M5.03 GBFits14K29K

Qwen3-8B-GGUF on other hardware

Popular models that run on RTX 4060

Assumes 90% of the card's memory is usable 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.