Empty one can of chickpeas, along with its liquid, into a blender and blend until completely smooth.
In a pot, warm the olive oil over medium heat, then add the garlic and cook for about 1 minute, until aromatic.
Introduce the puréed chickpeas, the drained contents of the second can, the diced potato, paprika, rosemary, thyme, chili flakes, and freshly cracked pepper; mix thoroughly. Pour in the broth and stir once more.
Put a lid on the pot, raise heat to medium-high, and let it come to a boil. After boiling, lower heat to medium-low and maintain a simmer for 25 minutes, stirring from time to time.
Check the seasoning and adjust as needed (this depends on how salty your broth is; roughly 1/4 tsp salt was used).
Ladle into bowls while hot, topping with freshly ground pepper and a drizzle of olive oil if you like, and offer crusty bread for dipping.