Maya hs 65 dimes and 104 pennies.

She will put them in packages that are
all the same. What is the greatest number of packages she can make?

65 = 13*5

104 = 13*8

13 packages of 5 dimes and 8 pennies will use them all up.

However, that's assuming that she needs to use all the coins up. Otherwise, if there can be some left over, there can be 104 packages of one penny each, with the dimes left over.

If leftovers are allowed, but each package must have both dimes and pennies, then 65 packages of 1 dime, 1 penny will work, leaving some pennies left over.