Can the NVIDIA RTX 4070 run Qwen3 14B?

Yes
QuantQ4_K_MGood, most popular
Memory10.9 GBof 12 GB
Speed~34tokens/s

Yes. The NVIDIA RTX 4070 can run Qwen3 14B fully in VRAM at Q4_K_M (good, most popular), using about 10.9 GB of the 12 GB available, at roughly 34 tokens/second.

Try other context lengths in the calculator →

Memory needed by quantization

At 8,192 tokens of context.

QuantQualityMemoryFits?Speed
FP16Full quality31.5 GBToo big—
Q8_0Near-lossless17.7 GBToo big—
Q6_KExcellent14.1 GBToo big—
Q5_K_MVery good12.5 GBToo big—
Q4_K_MGood, most popular10.9 GBFits~34 tok/s
Q3_K_MNoticeably degraded9.2 GBFits~42 tok/s
Q2_KHeavily degraded7.5 GBFits~54 tok/s

How to run Qwen3 14B on the NVIDIA RTX 4070

With Ollama installed, one command downloads and starts it:

ollama run qwen3:14b

Ollama's default download is Q4_K_M (about 10.9 GB here). That is also the best quant that fits.

GPUs that run Qwen3 14B comfortably

Models that run well on the NVIDIA RTX 4070

Run it in the cloud

Don't want to buy hardware? Run Qwen3 14B on a rented GPU today.

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