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You can build a simple device which will precisely allow you to measure both trip points.
Construct multistage binary counter, for example 16 stages. Connect identical resistors between every output and 1 common point. This common point can be directly connected to tested comparator's input, or, better option, use an opamp voltage follower as a buffer ..
Connect LED diode (with current limiting resistor) to the output of the comparator under test and 0V..
Now, assuming that you have 5V circuit, 16-bits give you 5/65536 precision, ≈75µV resolution.
If you need better resolution add next 2, 4 or as many stages as you wish ..
If you start countig UP you will find 1st trip point; next count DOWN and you will find 2nd trip point; knowing both counts you can easily calculate your histeresis ..
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