Can the NVIDIA RTX 4070 run Qwen3 4B?

Yes
QuantFP16Full quality
Memory9.8 GBof 12 GB
Speed~38tokens/s

Yes. The NVIDIA RTX 4070 can run Qwen3 4B fully in VRAM at FP16 (full quality), using about 9.8 GB of the 12 GB available, at roughly 38 tokens/second.

Try other context lengths in the calculator →

Memory needed by quantization

At 8,192 tokens of context.

QuantQualityMemoryFits?Speed
FP16Full quality9.8 GBFits~38 tok/s
Q8_0Near-lossless6.1 GBFits~71 tok/s
Q6_KExcellent5.1 GBFits~92 tok/s
Q5_K_MVery good4.7 GBFits~106 tok/s
Q4_K_MGood, most popular4.2 GBFits~124 tok/s
Q3_K_MNoticeably degraded3.8 GBFits~154 tok/s
Q2_KHeavily degraded3.3 GBFits~201 tok/s

How to run Qwen3 4B on the NVIDIA RTX 4070

With Ollama installed, one command downloads and starts it:

ollama run qwen3:4b

Ollama's default download is Q4_K_M (about 4.2 GB here). You have room for FP16, which is full quality: pick that GGUF in LM Studio or from Hugging Face.

GPUs that run Qwen3 4B comfortably

Models that run well on the NVIDIA RTX 4070

Run it in the cloud

Don't want to buy hardware? Run Qwen3 4B on a rented GPU today.

Rent a cloud GPU by the hour. No upfront cost, cancel any time.