Help with ID of Two cacti.

hope everyone is well and thanks for the help with my aloe plant. I have attached two pics of two cacti that i have and have had a hard time identifying them. The largest one Ive hadf for about 5 years and the smaller a little over a year. thanks for any help.

 

1 looks like a Euphorbia, perhaps trigona.
Both are good-looking plants!

 

#2 looks like a 'Fairy castle', which is a Cereus (or cereoid at least, I don't know much about this cultivar).

 

Thanks to the both of you for your help. I need to learn more about them and knowing their names is a huge help. Thanks again.