If the government created an equal distribution of property would that eliminate factions?

While an equal distribution of property might reduce economic disparities, it would not eliminate factions entirely. Factions can arise from various sources, including differing beliefs, values, interests, and social identities, not just economic inequality. Moreover, even in a society with equal property distribution, individuals may still form groups based on factors like ideology, religion, or culture, leading to new forms of factionalism. Thus, while economic equality might mitigate some conflicts, it wouldn't eradicate all factional divisions.