Only the number 1.
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The common multiples of 6 and 45 are the infinite set of multiples of their least common multiple, which is 90. So the common multiples of 6 and 45 are 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, and so on.
1, 2, 3, 4, 6, 9, 12, 18, 36.
9.Why? Because 9 x 6 = 54, and 9 x 5 = 45. No number larger than 9 is both a factor of 54 AND 45.
The smallest number that 6 and 8 go into is 24.
6*9=54 so they both go into it evenly, but the lowest number is 18.