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Can I run Qwen2.5-7B-Instruct-AWQ on an RTX 5060 Ti 16 GB?

Yes

Its published weights (5.57 GB) fit in the 14.4 GB an RTX 5060 Ti 16 GB can use, with room for ≈ 32K tokens of context.

Full analysis of Qwen2.5-7B-Instruct-AWQ Everything that runs on RTX 5060 Ti 16 GB Get the weights on Hugging Face
hf download Qwen/Qwen2.5-7B-Instruct-AWQ

Files and context on RTX 5060 Ti 16 GB

Each file of Qwen2.5-7B-Instruct-AWQ (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)
As published5.57 GBFits32K32K
4-bit (estimate)4.28 GBFits32K32K

Qwen2.5-7B-Instruct-AWQ 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.