# Gemma 3 4B vs Grok 4.5

> Grok 4.5 is the stronger model overall, scoring 55.0 to 28.1 on the Noometry Index. Gemma 3 4B costs 60× less per token, which makes it the better buy when Grok 4.5's lead doesn't matter for your workload.

- Canonical page: https://noometry.com/compare/gemma-3-4b-vs-grok-4-5
- Last updated: 2026-10-11
- Shared benchmarks: 20

## Summary

- They share 20 benchmarks with published results for both. Gemma 3 4B scores higher in 0 categories and Grok 4.5 in 9 categories; 9 gaps are clear of the uncertainty.
- The widest gap is in knowledge, where Grok 4.5 leads 62.3 to 11.8.
- The biggest single-benchmark swing is OTIS Mock AIME 2024-2025: 7.5% for Gemma 3 4B and 97.8% for Grok 4.5.
- Gemma 3 4B is cheaper at $0.04 / $0.08 per million input/output tokens, against $2 / $6 for Grok 4.5.
- Grok 4.5 accepts more context: 500K tokens versus 131K.
- Gemma 3 4B has downloadable open weights; the other is API-only.

## Snapshot

| | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| Provider | Google | xAI |
| Noometry Index | 28.1 | 55.0 |
| Rank | 326 | 25 |
| Context | 131K | 500K |
| Input $/M | $0.04 | $2 |
| Output $/M | $0.08 | $6 |
| Weights | Open | Proprietary |

## Coding

- Gemma 3 4B: 35.9 (#215)
- Grok 4.5: 52.2 (#35)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Coding | 1230 | 1474 |
| DeepSWE | — | 53.8% |
| FrontierCode | — | 42.4% |
| LMArena WebDev | — | 1553 |
| SciCode | — | 54.1% |
| WeirdML | — | 46.4% |
| ALE-Bench | — | 1,309 |

## Agentic & Tool Use

- Gemma 3 4B: 20.9 (#142)
- Grok 4.5: 44.4 (#17)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| APEX-Agents | — | 56.2% |
| Berkeley Function Calling Leaderboard | 19.6% | — |
| τ²-bench Banking | — | 47.9% |
| PostTrainBench | — | 23.4% |
| GBAEval | — | 65.4% |
| GDP.pdf | — | 14% |
| LMArena Search | — | 1213 |
| Vending-Bench 2 | — | 3,887 |

## Reasoning

- Gemma 3 4B: 13.2 (#335)
- Grok 4.5: 56.1 (#25)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| Kagi LLM Benchmark | 25.2% | 83.5% |
| Chess Puzzles | 0% | 36% |
| LMArena Hard Prompts | 1253 | 1462 |
| DTBench | 50.9% | 96.5% |
| LMCA | 2.8% | 45.2% |
| Epoch Capabilities Index | 116.02 | 153.92 |
| ARC-AGI-2 | — | 52.6% |
| SimpleBench | — | 70% |
| NYT Connections (extended) | — | 79.9% |
| ARC-AGI-1 | — | 87.2% |
| CritPt | — | 15.4% |
| Surface Evolver Bench | — | 74.4% |

## Math

- Gemma 3 4B: 16.8 (#292)
- Grok 4.5: 60.9 (#35)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| OTIS Mock AIME 2024-2025 | 7.5% | 97.8% |
| LMArena Math | 1239 | 1459 |
| FrontierMath (Tiers 1-3) | — | 57.2% |
| FrontierMath Tier 4 | — | 24.4% |
| ProofBench | — | 31% |

## Knowledge

- Gemma 3 4B: 11.8 (#299)
- Grok 4.5: 62.3 (#24)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| GPQA Diamond | 23.2% | 93.4% |
| LMArena Expert | 1223 | 1466 |
| SimpleQA Verified | — | 48.3% |
| Vectara Hallucination Rate | 6.4% | — |

## Multimodal

- Gemma 3 4B: —
- Grok 4.5: 37.6 (#72)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Vision | — | 1288 |
| Blueprint-Bench 2 | — | 27.3% |
| Furniture Assembly | — | 22.5% |
| LMArena Document | — | 1452 |

## Multilingual

- Gemma 3 4B: 42.5 (#194)
- Grok 4.5: 54.4 (#42)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Non-English | 1273 | 1440 |
| LMArena German | 1281 | 1446 |
| LMArena Russian | 1294 | 1448 |
| LMArena Chinese | — | 1496 |
| LMArena French | — | 1456 |
| LMArena Japanese | — | 1428 |
| LMArena Korean | — | 1404 |
| LMArena Spanish | — | 1450 |

## Instruction Following

- Gemma 3 4B: 65.2 (#225)
- Grok 4.5: 76.0 (#48)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Instruction Following | 1239 | 1446 |

## Long Context

- Gemma 3 4B: 38.7 (#194)
- Grok 4.5: 44.8 (#56)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Longer Query | 1273 | 1463 |

## Writing & Preference

- Gemma 3 4B: 42.0 (#239)
- Grok 4.5: 65.8 (#42)

| Benchmark | Gemma 3 4B | Grok 4.5 |
|---|---|---|
| LMArena Text | 1291 | 1448 |
| LMArena Creative Writing | 1271 | 1442 |
| EQ-Bench Creative Writing | 1068 | 1579 |
| LMArena Multi-Turn | 1255 | 1456 |

## FAQ

### Is Gemma 3 4B better than Grok 4.5?

Grok 4.5 is the stronger model overall, scoring 55.0 to 28.1 on the Noometry Index. Gemma 3 4B costs 60× less per token, which makes it the better buy when Grok 4.5's lead doesn't matter for your workload.

### Which is cheaper, Gemma 3 4B or Grok 4.5?

Gemma 3 4B is cheaper. It lists at $0.04 per million input tokens and $0.08 per million output tokens; Grok 4.5 lists at $2 and $6.

### Is Gemma 3 4B or Grok 4.5 better for coding?

Grok 4.5 scores higher on coding benchmarks: 52.2 versus 35.9 in the Noometry coding category.

### Which has the bigger context window?

Grok 4.5 does, with 500K tokens against 131K.

### How many benchmarks do Gemma 3 4B and Grok 4.5 share?

20 benchmarks have published results for both models. Gemma 3 4B has 22 scored results on Noometry and Grok 4.5 has 52.