# Grok-2 (Dec 2024) vs Llama 13b

> Grok-2 (Dec 2024) is the stronger model overall, scoring 33.7 to 24.4 on the Noometry Index.

- Canonical page: https://noometry.com/compare/grok-2-vs-llama-13b
- Last updated: 2026-10-11
- Shared benchmarks: 9

## Summary

- They share 9 benchmarks with published results for both. Grok-2 (Dec 2024) scores higher in 5 categories and Llama 13b in 1 category; 6 gaps are clear of the uncertainty.
- The widest gap is in writing & preference, where Grok-2 (Dec 2024) leads 48.6 to 13.8.
- Llama 13b has downloadable open weights; the other is API-only.

## Snapshot

| | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| Provider | xAI | Meta |
| Noometry Index | 33.7 | 24.4 |
| Rank | 239 | 348 |
| Context | — | — |
| Input $/M | — | — |
| Output $/M | — | — |
| Weights | Proprietary | Open |

## Coding

- Grok-2 (Dec 2024): 33.3 (#258)
- Llama 13b: 21.4 (#337)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Coding | 1287 | 683 |
| WeirdML | 22.2% | — |
| LiveBench Coding | 46.4% | — |

## Reasoning

- Grok-2 (Dec 2024): 16.9 (#299)
- Llama 13b: 14.0 (#329)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Hard Prompts | 1272 | 728 |
| Epoch Capabilities Index | 130.48 | 100.58 |
| SimpleBench | 22.7% | — |
| LiveBench Reasoning | 54.8% | — |
| DTBench | 65.2% | — |
| LiveBench Data Analysis | 54.5% | — |
| BIG-Bench Hard | — | 37.9% |
| HellaSwag | — | 79.2% |
| LAMBADA | — | 75.2% |
| LiveBench | 54.3% | — |
| PIQA | — | 80.1% |
| WinoGrande | — | 73% |

## Math

- Grok-2 (Dec 2024): 20.8 (#284)
- Llama 13b: 26.7 (#256)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Math | 1283 | 838 |
| OTIS Mock AIME 2024-2025 | 11.5% | — |
| LiveBench Math | 54.9% | — |
| MATH Level 5 | 63.5% | — |
| FrontierMath (Feb 2025 set) | 0.7% | — |
| GSM8K | — | 20.6% |

## Knowledge

- Grok-2 (Dec 2024): 29.8 (#233)
- Llama 13b: —

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| GPQA Diamond | 53.8% | — |
| Confabulations | 20.1% | — |
| LMArena Expert | 1254 | — |
| ARC (AI2) Challenge | — | 52.7% |
| BoolQ | — | 78.7% |
| MMLU | — | 47.7% |
| OpenBookQA | — | 56.4% |
| TriviaQA | — | 77.9% |

## Multimodal

- Grok-2 (Dec 2024): —
- Llama 13b: —

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| ScienceQA | — | 43.3% |

## Multilingual

- Grok-2 (Dec 2024): 43.1 (#188)
- Llama 13b: 16.6 (#297)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Non-English | 1282 | 819 |
| LMArena Chinese | 1289 | — |
| LMArena French | 1318 | — |
| LMArena German | 1287 | — |
| LMArena Japanese | 1244 | — |
| LMArena Korean | 1237 | — |
| LMArena Russian | 1286 | — |
| LMArena Spanish | 1281 | — |

## Instruction Following

- Grok-2 (Dec 2024): 66.9 (#202)
- Llama 13b: 36.7 (#305)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Instruction Following | 1270 | 781 |
| LiveBench Instruction Following | 69.6% | — |

## Long Context

- Grok-2 (Dec 2024): 38.8 (#190)
- Llama 13b: —

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Longer Query | 1276 | — |

## Writing & Preference

- Grok-2 (Dec 2024): 48.6 (#198)
- Llama 13b: 13.8 (#312)

| Benchmark | Grok-2 (Dec 2024) | Llama 13b |
|---|---|---|
| LMArena Text | 1305 | 834 |
| LMArena Creative Writing | 1284 | 794 |
| LMArena Multi-Turn | 1290 | 753 |
| Short-Story Creative Writing | 63.6% | — |
| LiveBench Language | 45.6% | — |

## FAQ

### Is Grok-2 (Dec 2024) better than Llama 13b?

Grok-2 (Dec 2024) is the stronger model overall, scoring 33.7 to 24.4 on the Noometry Index.

### Is Grok-2 (Dec 2024) or Llama 13b better for coding?

Grok-2 (Dec 2024) scores higher on coding benchmarks: 33.3 versus 21.4 in the Noometry coding category.

### How many benchmarks do Grok-2 (Dec 2024) and Llama 13b share?

9 benchmarks have published results for both models. Grok-2 (Dec 2024) has 34 scored results on Noometry and Llama 13b has 21.