# Gemma 3 4B vs Llama 13b

> Gemma 3 4B is the stronger model overall, scoring 28.1 to 24.4 on the Noometry Index.

- Canonical page: https://noometry.com/compare/gemma-3-4b-vs-llama-13b
- Last updated: 2026-10-10
- Shared benchmarks: 9

## Summary

- They share 9 benchmarks with published results for both. Gemma 3 4B scores higher in 4 categories and Llama 13b in 2 categories; 5 gaps are clear of the uncertainty.
- The widest gap is in instruction following, where Gemma 3 4B leads 65.2 to 36.7.

## Snapshot

| | Gemma 3 4B | Llama 13b |
|---|---|---|
| Provider | Google | Meta |
| Noometry Index | 28.1 | 24.4 |
| Rank | 326 | 348 |
| Context | 131K | — |
| Input $/M | $0.04 | — |
| Output $/M | $0.08 | — |
| Weights | Open | Open |

## Coding

- Gemma 3 4B: 35.9 (#215)
- Llama 13b: 21.4 (#337)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Coding | 1230 | 683 |

## Agentic & Tool Use

- Gemma 3 4B: 20.9 (#142)
- Llama 13b: —

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| Berkeley Function Calling Leaderboard | 19.6% | — |

## Reasoning

- Gemma 3 4B: 13.2 (#335)
- Llama 13b: 14.0 (#329)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Hard Prompts | 1253 | 728 |
| Epoch Capabilities Index | 116.02 | 100.58 |
| Kagi LLM Benchmark | 25.2% | — |
| Chess Puzzles | 0% | — |
| DTBench | 50.9% | — |
| LMCA | 2.8% | — |
| BIG-Bench Hard | — | 37.9% |
| HellaSwag | — | 79.2% |
| LAMBADA | — | 75.2% |
| PIQA | — | 80.1% |
| WinoGrande | — | 73% |

## Math

- Gemma 3 4B: 16.8 (#292)
- Llama 13b: 26.7 (#256)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Math | 1239 | 838 |
| OTIS Mock AIME 2024-2025 | 7.5% | — |
| GSM8K | — | 20.6% |

## Knowledge

- Gemma 3 4B: 11.8 (#299)
- Llama 13b: —

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| GPQA Diamond | 23.2% | — |
| Vectara Hallucination Rate | 6.4% | — |
| LMArena Expert | 1223 | — |
| ARC (AI2) Challenge | — | 52.7% |
| BoolQ | — | 78.7% |
| MMLU | — | 47.7% |
| OpenBookQA | — | 56.4% |
| TriviaQA | — | 77.9% |

## Multimodal

- Gemma 3 4B: —
- Llama 13b: —

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| ScienceQA | — | 43.3% |

## Multilingual

- Gemma 3 4B: 42.5 (#194)
- Llama 13b: 16.6 (#297)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Non-English | 1273 | 819 |
| LMArena German | 1281 | — |
| LMArena Russian | 1294 | — |

## Instruction Following

- Gemma 3 4B: 65.2 (#225)
- Llama 13b: 36.7 (#305)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Instruction Following | 1239 | 781 |

## Long Context

- Gemma 3 4B: 38.7 (#194)
- Llama 13b: —

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Longer Query | 1273 | — |

## Writing & Preference

- Gemma 3 4B: 42.0 (#239)
- Llama 13b: 13.8 (#312)

| Benchmark | Gemma 3 4B | Llama 13b |
|---|---|---|
| LMArena Text | 1291 | 834 |
| LMArena Creative Writing | 1271 | 794 |
| LMArena Multi-Turn | 1255 | 753 |
| EQ-Bench Creative Writing | 1068 | — |

## FAQ

### Is Gemma 3 4B better than Llama 13b?

Gemma 3 4B is the stronger model overall, scoring 28.1 to 24.4 on the Noometry Index.

### Is Gemma 3 4B or Llama 13b better for coding?

Gemma 3 4B scores higher on coding benchmarks: 35.9 versus 21.4 in the Noometry coding category.

### How many benchmarks do Gemma 3 4B and Llama 13b share?

9 benchmarks have published results for both models. Gemma 3 4B has 22 scored results on Noometry and Llama 13b has 21.