DMAIC and DMADV are two Six Sigma methodologies used for process improvement. DMAIC is used for existing processes that need incremental improvement, following the define, measure, analyze, improve, control steps. DMADV is used to develop new processes or products at Six Sigma quality levels, following the define, measure, analyze, design, verify steps. Both methods are data-driven and aim to reduce defects. DMAIC focuses on improving current processes, while DMADV focuses on designing new processes from the start to meet Six Sigma standards.