The scientific classification of Trichocereus and Artemisia includes the entire classification chart that includes kingdom, family, clade, tribe etc. A kingdom is the second highest taxonomic rank. A taxonomic rank is the level that a living organisms are placed in hierarchical level of arrangement of life forms. All the living organisms are divided into kingdoms. Plant kingdom is a main classification of living organisms that include all plants. There are six kingdoms which are: Plantae, Animalia, Fungi, Protista, Aschaea/Archaeabacteria and Bacteria Eubacteria. Trichocereus and Artemisia kingdom and all other plants kingdom is Plantaea.
Plant family is the group of plants which have something in common. Trichocereus and Artemisia family is a major factor of Trichocereus and Artemisia Scientific Classification. Plant family helps you narrow the search of your plants. It also gives you idea about, how the plant looks, how the seed will be like etc. These two plant families can be different or same. Trichocereus belongs to the family Cactaceae and Artemisia belongs to the family Asteraceae.
While comparing scientific classification, Trichocereus and Artemisia genus and other classification are also important. Also, when you compare Trichocereus and Artemisia, other factors should also be taken into considerations like order, subfamilies, tribe, clade etc. First plant's genus is Echinopsis and other plant's genus is Artemisia. Trichocereus tribe is Trichocereeae and Artemisia tribe is Anthemideae. Trichocereus clade is Angiosperms, Core eudicots and Eudicots and order is Caryophyllales whereas Artemisia clade is Angiosperms, Asterids and Eudicots and order is Asterales. Every plant have subfamilies. Trichocereus subfamilies are, Cactoideae and Artemisia subfamilies are Asteroideae. In this way you can compare scientific classification of Trichocereus and Artemisia and other products also.