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Game Theory 9.0/10

Chomp on the Divisors of 360

The 24 positive divisors of 360 are written on a board. Two players alternate turns. On a turn the mover names a divisor still on the board and erases it together with all of its multiples still on the board. Whoever is forced to name 1 loses (naming 1 at any time loses). The first player can win, and exactly one first name wins. What is it? Answer with an integer.

Related problems & prerequisites

Worth solving first

Source: Divisor form of Chomp due to Fred Schuh (1952). Statement written for AxiomIQ.