The Hebrew word for man is אָדָם (adam) or אּישׁ (ish). The "out of man" (מֵאִ֖ישׁ meish, also transliterated me’iysh) in this passage derives from the latter form. Like in Gen 2:23, ish often carries a definite connection with males (as opposed to "mankind"), but has a variety of uses. You can explore the usage of all forms of ish here and meish here. Usage of adam, which more commonly means mankind as a whole than males only, can be found here.
The Hebrew word for woman is אִשָּׁ֔ה (ishshah, also transliterated ishah). It normally means woman, female, or wife. You can explore the usage of all forms of ishshah here and the root form (As used in Gen 2:23) specifically here