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Can I run Qwen2.5-7B-Instruct-GGUF on an RTX 5060?

Yes, just

Its Q6_K file (6.25 GB) fits in the 7.20 GB an RTX 5060 can use, with room for ≈ 16K tokens of context.

Full analysis of Qwen2.5-7B-Instruct-GGUF Everything that runs on RTX 5060 Get the Q6_K file on Hugging Face
llama-server -hf Qwen/Qwen2.5-7B-Instruct-GGUF:Q6_K

Files and context on RTX 5060

Each file of Qwen2.5-7B-Instruct-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 Context (16-bit)Context (8-bit)
qwen2.5-7b-instruct-fp1615.2 GBDoesn't fit——
Q8_08.10 GBDoesn't fit——
Q6_K6.25 GBTight16K32K
Q5_K_M5.44 GBFits30K60K
Q5_05.32 GBFits32K64K
Q4_K_M4.68 GBFits43K86K
Q4_04.43 GBFits47K94K
Q3_K_M3.81 GBFits58K116K
Q2_K3.02 GBFits71K128K

Qwen2.5-7B-Instruct-GGUF on other hardware

Popular models that run on RTX 5060

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.