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IMAS 2020 — Upper Primary Grades 5–6 — Round 2 Question 14

IMAS · IMAS 2020 — Upper Primary Grades 5–6 — Round 2

Question 14

Let $\overline{abcd}$ and $\overline{cdab}$ be two 4-digit numbers such that a, b, c and d are four different digits from 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. If M is the greatest common factor of both $\overline{abcd}$ and $\overline{cdab}$ , then what is the largest possible value of M?