St 1 m is prime, no data about n, Insufficient
St 2 2n = 7m, m & n could be any numbers, Insufficient.
Both st 1 & 2 combined tell us m=2 as none of the other prime numbers satisfy the two condictions. Hence m=2, n= 7 and GCF = 1, Ans C
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Source: Beat The GMAT — Data Sufficiency |