Fibonacci Retracement and Pivot Points are both tools for identifying support and resistance levels, but they derive those levels very differently. Fibonacci Retracement applies golden-ratio-based percentages (23.6%, 38.2%, 50%, 61.8%, 78.6%) to the distance between a swing high and low, while Pivot Points calculate fixed levels from the previous period's high, low, and close.
Traders compare them because each tool suits a different kind of price behavior — Fibonacci levels are built for trending markets with clear swing points, while Pivot Points are built for defining a session's likely trading range regardless of trend.