The construction industry accounts for 39% of global carbon emissions and 30% of waste generation, necessitating transformative solutions such as circular economy practices. These include material recovery, reuse, and energy efficiency, with the potential to reduce embodied carbon by 40%, divert 70–90% of waste, and cut operational energy use by 30–50%. This study aims to promote carbon–neutral construction through deconstruction and circular economy frameworks, using Grey Influence Analysis (GINA) to evaluate interrelations among key sustainability factors. Dimensions analyzed include material recovery and reuse, embodied carbon reduction, energy efficiency, lifecycle thinking, design for disassembly, economic viability, and cultural change. Based on expert evaluations, material recovery and reuse and design for disassembly emerged as the most influential factors. Their integration can drive systemic transformation toward sustainable construction.