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Can the RTX 4070 SUPER Run Llama 3.3 70B?

Offload

Not entirely. Llama 3.3 70B at Q4_K_M is a 42.5 GB download (Hugging Face file listing for bartowski/Llama-3.3-70B-Instruct-GGUF), about 30.5 GB more than the RTX 4070 SUPER's 12 GB, so the remainder has to be offloaded to system RAM. Generation speed is then set by system-memory and PCIe bandwidth rather than by the GPU, so no tokens-per-second figure is quoted for this pair. The smallest card in this matrix that holds it entirely is the RTX A6000 48GB (48 GB).

Model file42.5 GBQ4_K_M
VRAM12 GBRTX 4070 SUPER
Headroom30.5 GB shortafter weights
Median speed—0 cited runs
Bandwidth ceiling~12 tok/s504 GB/s ÷ 42.52 GB

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Published runs for Llama 3.3 70B on the RTX 4070 SUPER

No published run for this pair has passed the checks yet.

More about this pair

How much VRAM does Llama 3.3 70B need?

The Q4_K_M file is 42.5 GB. Add roughly 1.5 GB for the runtime and an ~8K-token context, so about 44 GB of VRAM holds it comfortably. Longer contexts grow the KV cache and need more.

What speed does Llama 3.3 70B reach on the RTX 4070 SUPER?

No published run of Llama 3.3 70B on the RTX 4070 SUPER has been cited yet. Generation reads every weight once per token, so the RTX 4070 SUPER's 504 GB/s of memory bandwidth divided by the 42.52 GB file puts the theoretical ceiling near 12 tokens per second once the whole model is resident. That is an upper bound, not a speed estimate: kernel, launch and compute overhead keep real runs below it.

Check another pair

See the full matrix → · All RTX 4070 SUPER benchmarks →

Llama 3.3 70B on other GPUs

Other models on the RTX 4070 SUPER

How the checks work

The fit is the Q4_K_M file size against the card's VRAM, with 1.5 GB kept for the runtime and an ~8K context. A published run counts only if the pair fits, the run is Q4-class, its source does not call it an estimate, it is under the bandwidth ceiling (memory bandwidth ÷ GB read per token: the whole file for a dense model, only the active experts' weights for a mixture-of-experts model such as gpt-oss-20b or Qwen3 30B-A3B, which is why those can post figures above bandwidth ÷ file size), it is not slower than the same card on a model twice its size, a single run is not slower than the same card on a larger dense model, and it is not one figure pasted across many cards. The whole matrix is downloadable as a CSV under CC BY 4.0.

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This page is editorial synthesis based on publicly available information. No independent first-party benchmarking is reported.