Question: Are Ochagavia and Cypripedium both genuses?

Context articles: Cypripedium montanum
Cypripedium formosanum
Ochagavia
Cypripedium henryi
Cypripedium dickinsonianum
Cypripedium flavum
Cypripedium
Cypripedium irapeanum
Cypripedium macranthos
Cypripedium japonicum

Cypripedium montanum is a member of the orchid genus "Cypripedium".
 It is commonly known as large lady's slipper, mountain lady's slipper, Mountain Lady's-slipper, white lady's slipper as well as moccasin flower.
 This latter is also the common name of "Cypripedium acaule".
The Formosan Lady's Slipper or Beautiful Cypripedium (Cypripedium formosanum) is a species of orchid.
 It is endemic to Taiwan.
Ochagavia is a genus of the botanical family Bromeliaceae, subfamily Bromelioideae.
 The genus is named for Sylvestris Ochagavia, Chilean minister of education.
 Endemic to southern and central Chile (including the Juan Fernández Islands), this genus is represented by four accepted species.
The Henry's Cypripedium (Cypripedium henryi) is a species of orchid.
 It is endemic to central and southern China and found in southern Gansu, Guizhou, western Hubei, southern Shaanxi, southern Shanxi, Sichuan, and northwestern to southeastern Yunnan.
 It grown in humus-rich places in open forests, at forest margins, or on scrubby slopes at elevations of 800 – above sea level.
Cypripedium dickinsonianum is a species of orchid named Dickinson's lady's slipper or Dickinson's cypripedium after American orchidist Stirling Dickinson.
The Yellow Cypripedium (Cypripedium flavum) is a species of orchid.
 It is endemic to China, found in the provinces of Gansu, Hubei, Sichuan, Xizang (Tibet), and Yunnan.
Cypripedium is a genus of 58 species and nothospecies of hardy orchids; it is one of five genera that together compose the subfamily of lady's slipper orchids (Cypripedioideae).
 They are widespread across much of the Northern Hemisphere, including most of Europe (one species), Russia, China, Central Asia, Canada the United States, Mexico, and Central America.
 They are most commonly known as slipper orchids or lady's slipper orchids; other common names include moccasin flower, camel's foot, squirrel foot, steeple cap, Venus' shoes, and whippoorwill shoe.
 An abbreviation used in trade journals is "Cyp."
 The word ""Cypripedium"" is derived from the Late Latin: "Cypris", from Ancient Greek: Κυπρις  "(Kypris)" , an early reference in Greek myth to Aphrodite, and Greek: "pedilon", meaning "sandal".
The Irapeao's Cypripedium or Pelican Orchid (Cypripedium irapeanum) is a species of orchid.
 It has a widespread distribution from the central Mexico states of Sinaloa and Durango south to Guatemala and Honduras.
 They are found in mixed pine and oak forests on well-drained limestone slopes and in areas with volcanic and clay soil which are rich in metals.
 They can be found in some areas in groups of hundreds.
 They bloom from early June to late July.
Cypripedium macranthos, the large-flowered cypripedium, is a species of orchid.
 It is native to Belarus, Russia (European Russia and Siberia), Mongolia, Japan, Korea and China (Hebei, Heilongjiang, Jilin, Liaoning, Nei Mongol, Shandong, Taiwan).
Cypripedium japonicum, also called Japanese cypripedium and Korean lady's slipper, is a species of orchid.
 It is native to Japan, Korea and China (Anhui, Gansu, Guizhou, Hubei, Hunan, Jiangxi, Shaanxi, Sichuan, Zhejiang).