Can you run Qwen3 14B on RTX 4070?
Qwen3 14B Q4_K_M on the NVIDIA GeForce RTX 4070 — verdict, VRAM math and estimated speed.
Yes, but slowly — Qwen3 14B spills past the RTX 4070. 11 GB weights at Q4_K_M vs 10.8 GB usable VRAM; ~7 tok/s est..
VRAM math and speed are ModelFit engine estimates, not measurements. Commands are registry-verified Ollama tags.
Cite this page: ModelFit, Qwen3 14B on RTX 4070, https://modelfit.io/can-i-run/qwen3-14b-q4-on-rtx-4070/, updated August 2026, CC BY 4.0.
Last updated: August 16, 2026 · Editor: ModelFit Team
Memory math: weights + context vs budget
Weights take 11 GB. Context costs extra KV-cache on top — this is where long-context sessions break on cards that technically fit the weights.
KV-cache figures assume an fp16 cache, the llama.cpp/Ollama default. Standard GQA models use a size-class estimate (8 KV heads x 128 head dim class); hybrid linear-attention models (Qwen3.5/3.6, Qwen3-Next) use the exact per-token cost from their published config, since only their sparse full-attention layers cache KV. A q8_0 KV cache roughly halves either figure. Estimates, not measurements.
Try a different quant
Upgrade path
The cheapest tracked card that runs Qwen3 14B comfortably is the AMD Radeon RX 7900 XT (20 GB VRAM).
See the RX 7900 XT pageQwen3 14B on RTX 4070: FAQ
Can the NVIDIA GeForce RTX 4070 run Qwen3 14B?
Barely. Qwen3 14B (Q4_K_M) needs about 11 GB but the RTX 4070 has 10.8 GB usable VRAM, so part of the model spills to system RAM and speed drops to at roughly 7 tokens/sec (est.).
How much VRAM does Qwen3 14B need?
About 11 GB for the weights at Q4_K_M, plus KV-cache for context: roughly 3.0 GB extra at 16k tokens. The RTX 4070 budget is 10.8 GB (12 GB x 90%).
What is the best quantization of Qwen3 14B for the RTX 4070?
Stick with the Q4_K_M build at 11 GB — every heavier quant exceeds the 10.8 GB usable VRAM.
What GPU do I need to run Qwen3 14B comfortably?
The cheapest tracked card that runs Qwen3 14B (Q4_K_M) fully in VRAM is the AMD Radeon RX 7900 XT (20 GB).