# Gemma 3 4B vs Grok 3

> Grok 3 is the stronger model overall, scoring 39.9 to 28.1 on the Noometry Index.

- Canonical page: https://noometry.com/compare/gemma-3-4b-vs-grok-3
- Last updated: 2026-10-11
- Shared benchmarks: 18

## Summary

- They share 18 benchmarks with published results for both. Gemma 3 4B scores higher in 0 categories and Grok 3 in 9 categories; 7 gaps are clear of the uncertainty.
- The widest gap is in knowledge, where Grok 3 leads 46.2 to 11.8.
- The biggest single-benchmark swing is GPQA Diamond: 23.2% for Gemma 3 4B and 75.8% for Grok 3.
- Gemma 3 4B has downloadable open weights; the other is API-only.

## Snapshot

| | Gemma 3 4B | Grok 3 |
|---|---|---|
| Provider | Google | xAI |
| Noometry Index | 28.1 | 39.9 |
| Rank | 326 | 157 |
| Context | 131K | — |
| Input $/M | $0.04 | — |
| Output $/M | $0.08 | — |
| Weights | Open | Proprietary |

## Coding

- Gemma 3 4B: 35.9 (#215)
- Grok 3: 41.9 (#115)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| LMArena Coding | 1230 | 1432 |
| Aider Polyglot | — | 53.3% |
| WeirdML | — | 37.2% |

## Agentic & Tool Use

- Gemma 3 4B: 20.9 (#142)
- Grok 3: 30.5 (#76)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| Berkeley Function Calling Leaderboard | 19.6% | — |
| BALROG | — | 29.5% |

## Reasoning

- Gemma 3 4B: 13.2 (#335)
- Grok 3: 13.7 (#333)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| Kagi LLM Benchmark | 25.2% | 61.3% |
| LMArena Hard Prompts | 1253 | 1434 |
| Epoch Capabilities Index | 116.02 | 138.33 |
| ARC-AGI-2 | — | 0% |
| SimpleBench | — | 36.1% |
| ARC-AGI-1 | — | 5.5% |
| Chess Puzzles | 0% | — |
| DTBench | 50.9% | — |
| LMCA | 2.8% | — |

## Math

- Gemma 3 4B: 16.8 (#292)
- Grok 3: 38.0 (#145)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| OTIS Mock AIME 2024-2025 | 7.5% | 55.6% |
| LMArena Math | 1239 | 1391 |
| Omni-MATH | — | 46.4% |
| MATH Level 5 | — | 88.7% |
| FrontierMath (Feb 2025 set) | — | 3.8% |
| FrontierMath Tier 4 (v1) | — | 0% |

## Knowledge

- Gemma 3 4B: 11.8 (#299)
- Grok 3: 46.2 (#82)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| GPQA Diamond | 23.2% | 75.8% |
| Vectara Hallucination Rate | 6.4% | 5.8% |
| LMArena Expert | 1223 | 1421 |
| MMLU-Pro | — | 78.8% |
| Confabulations | — | 14.2% |
| GPQA (HELM) | — | 65% |

## Multilingual

- Gemma 3 4B: 42.5 (#194)
- Grok 3: 52.3 (#87)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| LMArena Non-English | 1273 | 1410 |
| LMArena German | 1281 | 1431 |
| LMArena Russian | 1294 | 1416 |
| LMArena Chinese | — | 1448 |
| LMArena French | — | 1460 |
| LMArena Japanese | — | 1387 |
| LMArena Korean | — | 1373 |
| LMArena Spanish | — | 1417 |

## Instruction Following

- Gemma 3 4B: 65.2 (#225)
- Grok 3: 75.0 (#73)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| LMArena Instruction Following | 1239 | 1409 |
| IFEval | — | 88.4% |

## Long Context

- Gemma 3 4B: 38.7 (#194)
- Grok 3: 38.7 (#192)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| LMArena Longer Query | 1273 | 1439 |
| Fiction.LiveBench | — | 58.3% |

## Writing & Preference

- Gemma 3 4B: 42.0 (#239)
- Grok 3: 55.8 (#141)

| Benchmark | Gemma 3 4B | Grok 3 |
|---|---|---|
| LMArena Text | 1291 | 1426 |
| LMArena Creative Writing | 1271 | 1414 |
| EQ-Bench Creative Writing | 1068 | 1186 |
| LMArena Multi-Turn | 1255 | 1425 |
| Short-Story Creative Writing | — | 76.4% |
| WildBench | — | 84.9% |

## FAQ

### Is Gemma 3 4B better than Grok 3?

Grok 3 is the stronger model overall, scoring 39.9 to 28.1 on the Noometry Index.

### Is Gemma 3 4B or Grok 3 better for coding?

Grok 3 scores higher on coding benchmarks: 41.9 versus 35.9 in the Noometry coding category.

### How many benchmarks do Gemma 3 4B and Grok 3 share?

18 benchmarks have published results for both models. Gemma 3 4B has 22 scored results on Noometry and Grok 3 has 40.