My Solution:
Part (c)
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36
Factors of 54: 1, 2, 3, 6, 9, 18, 27 and 54
Since 1, 2, 3 are prime numbers, the composite numbers which are factors of both 36 and 54 are only:
6, 9 and 18
Part (d)
LCM of 24 and 36 is 72. (Hope you know how to get this ;p )
The smallest number that we are looking for that when divided by either 24 or 36 and yield a remainder of 11 would be:
72 + 11 = 83
