# Grok 3 vs Llama 2-13B

> Grok 3 is the stronger model overall, scoring 39.9 to 29.6 on the Noometry Index.

- Canonical page: https://noometry.com/compare/grok-3-vs-llama-2-13b
- Last updated: 2026-10-11
- Shared benchmarks: 18

## Summary

- They share 18 benchmarks with published results for both. Grok 3 scores higher in 8 categories and Llama 2-13B in 0 categories; 7 gaps are clear of the uncertainty.
- The widest gap is in writing & preference, where Grok 3 leads 55.8 to 29.8.
- Llama 2-13B has downloadable open weights; the other is API-only.

## Snapshot

| | Grok 3 | Llama 2-13B |
|---|---|---|
| Provider | xAI | Meta |
| Noometry Index | 39.9 | 29.6 |
| Rank | 157 | 309 |
| Context | — | — |
| Input $/M | — | — |
| Output $/M | — | — |
| Weights | Proprietary | Open |

## Coding

- Grok 3: 41.9 (#115)
- Llama 2-13B: 30.9 (#291)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Coding | 1432 | 1062 |
| Aider Polyglot | 53.3% | — |
| WeirdML | 37.2% | — |

## Agentic & Tool Use

- Grok 3: 30.5 (#76)
- Llama 2-13B: —

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| BALROG | 29.5% | — |

## Reasoning

- Grok 3: 13.7 (#333)
- Llama 2-13B: 12.8 (#337)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Hard Prompts | 1434 | 1051 |
| Epoch Capabilities Index | 138.33 | 106.17 |
| ARC-AGI-2 | 0% | — |
| SimpleBench | 36.1% | — |
| Kagi LLM Benchmark | 61.3% | — |
| ARC-AGI-1 | 5.5% | — |
| Chess Puzzles | — | 0% |
| DTBench | — | 42.2% |
| BIG-Bench Hard | — | 58.2% |
| HellaSwag | — | 80.7% |
| LAMBADA | — | 76.5% |
| PIQA | — | 80.8% |
| WinoGrande | — | 72.8% |

## Math

- Grok 3: 38.0 (#145)
- Llama 2-13B: 31.1 (#229)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Math | 1391 | 1065 |
| OTIS Mock AIME 2024-2025 | 55.6% | — |
| Omni-MATH | 46.4% | — |
| MATH Level 5 | 88.7% | — |
| FrontierMath (Feb 2025 set) | 3.8% | — |
| FrontierMath Tier 4 (v1) | 0% | — |
| GSM8K | — | 36.9% |

## Knowledge

- Grok 3: 46.2 (#82)
- Llama 2-13B: 28.1 (#249)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Expert | 1421 | 1030 |
| GPQA Diamond | 75.8% | — |
| MMLU-Pro | 78.8% | — |
| Confabulations | 14.2% | — |
| Vectara Hallucination Rate | 5.8% | — |
| GPQA (HELM) | 65% | — |
| ARC (AI2) Challenge | — | 60.3% |
| BoolQ | — | 82.4% |
| MMLU | — | 55.6% |
| OpenBookQA | — | 57% |
| TriviaQA | — | 79.6% |

## Multimodal

- Grok 3: —
- Llama 2-13B: —

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| ScienceQA | — | 55.8% |

## Multilingual

- Grok 3: 52.3 (#87)
- Llama 2-13B: 26.5 (#279)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Non-English | 1410 | 1024 |
| LMArena Chinese | 1448 | 1001 |
| LMArena French | 1460 | 1044 |
| LMArena German | 1431 | 1009 |
| LMArena Japanese | 1387 | 894 |
| LMArena Korean | 1373 | 953 |
| LMArena Russian | 1416 | 1055 |
| LMArena Spanish | 1417 | 1087 |

## Instruction Following

- Grok 3: 75.0 (#73)
- Llama 2-13B: 53.3 (#287)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Instruction Following | 1409 | 1045 |
| IFEval | 88.4% | — |

## Long Context

- Grok 3: 38.7 (#192)
- Llama 2-13B: 32.3 (#269)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Longer Query | 1439 | 1064 |
| Fiction.LiveBench | 58.3% | — |

## Writing & Preference

- Grok 3: 55.8 (#141)
- Llama 2-13B: 29.8 (#289)

| Benchmark | Grok 3 | Llama 2-13B |
|---|---|---|
| LMArena Text | 1426 | 1084 |
| LMArena Creative Writing | 1414 | 1047 |
| LMArena Multi-Turn | 1425 | 1050 |
| Short-Story Creative Writing | 76.4% | — |
| EQ-Bench Creative Writing | 1186 | — |
| WildBench | 84.9% | — |

## FAQ

### Is Grok 3 better than Llama 2-13B?

Grok 3 is the stronger model overall, scoring 39.9 to 29.6 on the Noometry Index.

### Is Grok 3 or Llama 2-13B better for coding?

Grok 3 scores higher on coding benchmarks: 41.9 versus 30.9 in the Noometry coding category.

### How many benchmarks do Grok 3 and Llama 2-13B share?

18 benchmarks have published results for both models. Grok 3 has 40 scored results on Noometry and Llama 2-13B has 32.