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

> Grok-2 (Dec 2024) is the stronger model overall, scoring 33.4 to 29.1 on the Noometry Index.

- Canonical page: https://noometry.com/compare/grok-2-vs-llama-2-13b
- Last updated: 2026-10-10
- Shared benchmarks: 19

## Summary

- They share 19 benchmarks with published results for both. Grok-2 (Dec 2024) scores higher in 7 categories and Llama 2-13B in 1 category; 8 gaps are clear of the uncertainty.
- The widest gap is in writing & preference, where Grok-2 (Dec 2024) leads 48.8 to 30.0.
- The biggest single-benchmark swing is DTBench: 65.2% for Grok-2 (Dec 2024) and 42.2% for Llama 2-13B.
- Llama 2-13B has downloadable open weights; the other is API-only.

## Snapshot

| | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| Provider | xAI | Meta |
| Noometry Index | 33.4 | 29.1 |
| Rank | 233 | 304 |
| Context | — | — |
| Input $/M | — | — |
| Output $/M | — | — |
| Weights | Proprietary | Open |

## Coding

- Grok-2 (Dec 2024): 32.9 (#254)
- Llama 2-13B: 30.4 (#287)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Coding | 1288 | 1062 |
| WeirdML | 22.2% | — |
| LiveBench Coding | 46.4% | — |

## Reasoning

- Grok-2 (Dec 2024): 16.4 (#294)
- Llama 2-13B: 12.3 (#333)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Hard Prompts | 1272 | 1051 |
| DTBench | 65.2% | 42.2% |
| Epoch Capabilities Index | 130.48 | 105.8 |
| SimpleBench | 22.7% | — |
| Chess Puzzles | — | 0% |
| LiveBench Reasoning | 54.8% | — |
| LiveBench Data Analysis | 54.5% | — |
| BIG-Bench Hard | — | 58.2% |
| HellaSwag | — | 80.7% |
| LAMBADA | — | 76.5% |
| LiveBench | 54.3% | — |
| PIQA | — | 80.8% |
| WinoGrande | — | 72.8% |

## Math

- Grok-2 (Dec 2024): 19.6 (#278)
- Llama 2-13B: 28.7 (#226)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Math | 1283 | 1065 |
| OTIS Mock AIME 2024-2025 | 11.5% | — |
| LiveBench Math | 54.9% | — |
| MATH Level 5 | 63.5% | — |
| FrontierMath (Feb 2025 set) | 0.7% | — |
| GSM8K | — | 36.9% |

## Knowledge

- Grok-2 (Dec 2024): 29.8 (#225)
- Llama 2-13B: 27.5 (#244)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Expert | 1254 | 1030 |
| GPQA Diamond | 53.8% | — |
| Confabulations | 20.1% | — |
| ARC (AI2) Challenge | — | 60.3% |
| BoolQ | — | 82.4% |
| MMLU | — | 55.6% |
| OpenBookQA | — | 57% |
| TriviaQA | — | 79.6% |

## Multimodal

- Grok-2 (Dec 2024): —
- Llama 2-13B: —

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| ScienceQA | — | 55.8% |

## Multilingual

- Grok-2 (Dec 2024): 43.3 (#183)
- Llama 2-13B: 26.7 (#274)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Non-English | 1282 | 1024 |
| LMArena Chinese | 1289 | 1001 |
| LMArena French | 1317 | 1043 |
| LMArena German | 1287 | 1009 |
| LMArena Japanese | 1244 | 894 |
| LMArena Korean | 1237 | 953 |
| LMArena Russian | 1286 | 1055 |
| LMArena Spanish | 1281 | 1086 |

## Instruction Following

- Grok-2 (Dec 2024): 67.1 (#197)
- Llama 2-13B: 53.5 (#282)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Instruction Following | 1270 | 1046 |
| LiveBench Instruction Following | 69.6% | — |

## Long Context

- Grok-2 (Dec 2024): 38.7 (#186)
- Llama 2-13B: 32.3 (#264)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Longer Query | 1276 | 1064 |

## Writing & Preference

- Grok-2 (Dec 2024): 48.8 (#192)
- Llama 2-13B: 30.0 (#284)

| Benchmark | Grok-2 (Dec 2024) | Llama 2-13B |
|---|---|---|
| LMArena Text | 1305 | 1085 |
| LMArena Creative Writing | 1284 | 1047 |
| LMArena Multi-Turn | 1290 | 1050 |
| Short-Story Creative Writing | 63.6% | — |
| LiveBench Language | 45.6% | — |

## FAQ

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

Grok-2 (Dec 2024) is the stronger model overall, scoring 33.4 to 29.1 on the Noometry Index.

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

Grok-2 (Dec 2024) scores higher on coding benchmarks: 32.9 versus 30.4 in the Noometry coding category.

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

19 benchmarks have published results for both models. Grok-2 (Dec 2024) has 34 scored results on Noometry and Llama 2-13B has 32.