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In the context of the transition of mineral extractive economies to sustainable development, the role of scientific and innovative support of this process is increasing. Universities are key components of this structural breakthrough. For the Russian economy, interaction and competition between federal universities are especially important, which, on the one hand, offer new technologies of "green" mining, and on the other, they form a high-tech breakthrough. The authors of the study have analyzed the competitiveness of Russian federal universities based on a developed methodology. This allows them to identify leaders and outsiders among these educational organizations and determine their strengths and weaknesses. The results allow the authors to determine the competitiveness of federal universities based on aggregated indicators that consider the influence of internal and external environment factors. The developed and tested methodology is based on the performance indicators of educational organizations, the "Project 5-100" indicators, and the indicators of international competitiveness.