There are two issues to consider here: scale (i.e., what counts as a lot and a little) and spread (i.e., whether values are similar or different from each other). Unfortunately, the standard deviation is often used to define both, which means it is challenging to distnguish between scale and spread when comparing two distributions. It is clear your distributions have different scales, but using the standard deviation alone to determine the scale means that you cannot use it to determine the spread. You will have to use some other criteria to do so.
The coefficient of variation is one way to compute the spread separately from the scale, but the mean (which is in its denominator) doesn't always represent the scale of the data well. Sometimes, the (possible) range of the data is more useful, e.g., when comparing the spread of results of two tests with different numbers of questions. Or there may be an external criterion, like the typical standard deviation of the type of data you are observing, that you can use to create a measure of spread in comparison. There is no single statistically valid way to this and your ultimate choice will depend on the substantive nature of your problem. You can use any strategy as long as you justify it; some strategies will be more justified than others, but there is no perfect solution to this problem.