They describe themselves as a left-wing, environmentalist and nationalist party dedicated to fulfilling the specific needs of the island.

In the 2007 Island Council elections, GxF was the most voted party, obtaining five councilors.

This result, along with a post-election pact with the two councilors of the PSIB, resulted in the GxF leader Jaume Ferrer Ribas becoming president of the newly formed Island Council of Formentera.

In the 2011 election, GxF obtained six island councilors, returning the incumbent insular government to power.

In 2015, GxF won the election in the Island Council by absolute majority and retained its sole representative in the regional Parliament.