(1) Background: Nutrition is a critical aspect of health and well-being in the elderly population, as physiological changes associated with aging can impact nutrient utilization and dietary needs. The aim of this study was the assessment of nutritional screening and associated factors among community-dwelling elderly people. (2) Methods: This study is the first phase of an intervention trial of people aged 65 years and over who received primary health services and resided in the municipality of Archanes Asterousia in Crete, Greece. Nutritional risk was assessed using the Mini Nutritional Assessment. Diet-related factors were analyzed, including health status (oral hygiene, depression, cognitive decline, impaired functioning, quality of life), social factors (educational attainment, marital status, type of work before 60 years), and lifestyle factors (smoking, drinking, diet). (3) Results: A total of 730 elderly people were evaluated (males, 31.5%), with an average age (±SD) of 76.83 (±6.68) years. MNA was found to have a statistically significant connection with assessment of oral hygiene, mental state, Charlson comorbidity, functional independence (assessed with the Barthel scale), and quality of life. The exception was geriatric depression (GDS), with which no statistically significant association was found (p > 0.05). Nutritional risk analysis revealed 379 participants (51.9%) to be adequately nourished, 205 (28.1%) to be at risk of malnutrition, and 146 (20.0%) to be malnourished. (4) Conclusions: These results clearly demonstrated the key factors that contribute to the nutritional screening of elderly people and need to be addressed by health authorities and social services.