Question: What type of action did both the Gewehr 1888 and the Gewehr 98 have in common?

Context paragraphs:
Vz. 98/22: The Vz.  98/22 is a Czechoslovakian-designed, full-sized, bolt-action rifle, designed and produced in Czechoslovakia.  It replaced the Gewehr 98 rifles purchased from Germany after the Treaty of Versailles.  The rifles were quickly replaced by the shorter Vz.  24, and were sold to various other nations, most notably Iran and Turkey, where they remained in service to World War II era and beyond.

Kb wz. 98a: Karabin wzor 98a (Kb wz.98a) was a Polish derivative of the German Gewehr 98 bolt-action rifle.

Dutch Mannlicher: The Dutch Mannlicher, also known as the M.95 (Model 1895), was the service rifle of the Armed forces of the Netherlands between 1895 and 1945 which replaced the obsolete Beaumont-Vitali M1871/88.  At first it was produced by Steyr for the Dutch, but after 1904, production took place under license at Hembrug Zaandam in the Netherlands.  It was based on the earlier Mannlicher 1893 Model that was submitted to and won the Romanian rifle trials.  The M1893 was itself a somewhat modernized version of the German Gewehr 1888.  Both Dutch and Romanian rifles fired the same rimmed 6.5×53 mmR cartridge often referred to as "Romanian" or "Dutch 6.5".

M24 series: The M24 series is a line of Mauser Gewehr 98 pattern bolt-action battle rifles produced for use by the Yugoslavian military.  They are similar to the Czech vz.  24 rifle, featuring open sights, 8×57mm IS chambering, carbine-length barrels, hardwood stocks, and straight bolt handles.  All M24 series weapons are designed to accept the M-24/48 pattern bayonet.

Kropatschek rifle: A Kropatschek is any variant of a rifle designed by Alfred von Kropatschek.  Kropatschek's rifles used an tubular magazine (constructed of nickel-plated steel) of his design, of the same type used in the German Mauser Gewehr 1871/84 and the Japanese Type 22 Murata.  While designed for black powder, the Kropatschek action proved to be strong enough to handle smokeless powder.

Mauser–Vergueiro: The Mauser–Vergueiro was a bolt-action rifle, designed in 1904 by José Alberto Vergueiro, an infantry officer of the Portuguese Army, and manufactured by Deutsche Waffen und Munitionsfabriken (DWM).  It was developed from the Mauser 98 rifle with the introduction of a new bolt system derived from the Gewehr 1888 and Mannlicher–Schönauer.  Outside Portugal, the weapon was also known as the Portuguese Mauser.  It used the 6.5×58mm Vergueiro, a cartridge developed specially for it.

Gewehr 1888: The Gewehr 88 (commonly called the Model 1888 commission rifle) was a late 19th-century German bolt action rifle, adopted in 1888.

Gewehr 98: The Gewehr 98 (abbreviated G98, Gew 98 or M98) is a German bolt-action Mauser rifle firing cartridges from a 5-round internal clip-loaded magazine that was the German service rifle from 1898 to 1935, when it was replaced by the Karabiner 98k.  The Gewehr 98 action, using stripper clip loading with the powerful 7.92×57mm Mauser cartridge, introduced advanced infantry weapon features rapidly adopted in the Anglo-American Pattern 1914 Enfield/M1917 Enfield and the Japanese Arisaka Type 38/Type 99.  The Gewehr 98 replaced the earlier Gewehr 1888 rifle as the German service rifle, first saw combat in the Boxer Rebellion, and was the main German infantry service rifle of World War I.  The Gewehr 98 saw further military use by the Ottoman Empire and Nationalist Spain.  Many have been converted to sporting use.

HY1935 bayonet: The Hanyang M1935 bayonet is a bayonet used on the Chinese Chiang Kai-Shek rifle.  It is based on the Mauser S84/98 III bayonet used on German Gewehr 98 rifles and derivatives.

Vz. 24: The vz.  24 rifle is a bolt-action carbine designed and produced in Czechoslovakia from 1924 to 1942.  It was developed from the Mauser Gewehr 98 line, and features a very similar bolt design.  The rifle was designed in Czechoslovakia shortly after World War I, to replace the Vz.  98/22, featuring a 600 mm (23.6") barrel which was shorter and considered more handy than the 150 mm (5.9") -longer Gewehr 98.  The carbine followed a similar trend in weapon design at the time, that a short rifle gave away little in ballistic efficiency at combat ranges, but was easier to handle on account of its shorter length.

Supporting paragraphs: Gewehr 98 Gewehr 1888
Answer: bolt-action