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WordPress needs to be updated first. If the site hasn't been updated in a while, do the major WP updates one at a time.

You can always switch to a default Twenty* theme, update WP, update Genesis, activate your child theme. Genesis 2.2 requires WP 4.3 and Genesis 2.4 should be installed before updating to WP 4.7, so to keep it safe, use a default theme during the update, although it should also work to update everything while the Genesis child theme is active, as long as you finish all the updates. And make sure you have a back-up and clear your cache before testing.