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Can I run Qwen3-32B-GGUF on an RTX 5060 Ti 16 GB?

No

Even its smallest file (Q4_K_M, 19.8 GB) is more than an RTX 5060 Ti 16 GB can hold (14.4 GB usable): it needs 2 of them.

Full analysis of Qwen3-32B-GGUF Everything that runs on RTX 5060 Ti 16 GB

Files and context on RTX 5060 Ti 16 GB

Each file of Qwen3-32B-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 5060 Ti 16 GB Context (16-bit)Context (8-bit)
Q8_034.8 GBDoesn't fit——
Q6_K26.9 GBDoesn't fit——
Q5_K_M23.2 GBDoesn't fit——
Q5_022.6 GBDoesn't fit——
Q4_K_M19.8 GBDoesn't fit——

Qwen3-32B-GGUF on other hardware

Popular models that run on RTX 5060 Ti 16 GB

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.