Can A Saguaro Cactus Be Topped

Question

It is broken cracked and leaning over house,

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Answer 1

It can be, but you may be left with the same problem again down the line. I would opt for complete removal, if you can.

Here is an article that will offer some tips on pruning a cactus:

https://www.gardeningknowhow.com/ornamental/cacti-succulents/scgen/cactus-pruning-info.htm