Answer: 7
Step-by-step explanation:
Given : The number of hardback books in a set = 49
The number of paperbacks in a set =21
Since each set can be divided equally among the club members then to find the greatest possible number of club members, we need to find the greatest common factor of 49 and 21.
The prime factorization of 49 and 21 :-
[tex]49=7\times7\\\\21=3\times7[/tex]
We can see that the greatest common factor of 49 and 21 =7
Thus, the greatest possible number of club members is 7
