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Stroke order matters in Chinese: it keeps the character balanced, and it is how dictionaries and handwriting input methods expect a character to be written.
共 is an ideographic compound. Two hands 八 holding one object 廾.
Radical: 八 + 4 more strokes
gòng共
gōng共

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Open the tool →共 (gòng) means “Together” in Chinese.
共 has 2 pronunciations: gòng, gōng.
共 has 6 strokes.
共 is written in 6 strokes, starting from the radical 八. See the animated stroke order on this page.
The radical of 共 is 八, and 共 is an ideographic compound.