Does gusl or bath on Friday is obligatory or not what islam teaches about it, let us know about that in the light of authentic teaching of Prophet Muhammadﷺ
Abu Huraira reported:
Umar b. Khattab was delivering a sermon to the people on Friday when ‘Uthman b. ‘Affan came there. ‘Umar hinting to him said: What would become of those persons who come after the call to prayer? Upon this ‘Uthman said: Commander of the faithful, I did no more than this that after listening to the call, I performed ablution and came (to the mosque). ‘Umar said: Just ablution! Did you not hear the Messenger of Allah (my peace be upon him) say this: When any one of you comes for Jumu’a, he should take a bath.
Sahih muslim , book of Friday
book 7 hadith 6
Sa’id al-Khudri reported Allah’s Messenger (ﷺ) as saying:
Taking a bath on Friday is essential for every adult person.
Sahih muslim,. book 7 hadith 7
The people came for Jumu’a prayer from their houses in the neighbouring villages dressed in woollen garments on which dust was settled and this emitted a foul smell. A person among them (those who were dressed so) came to the Messenger of Allah (ﷺ) while he was in my house. The Messenger of Allah (may peace he upon him) said to him: Were you to cleanse yourselves on this day.
Sahih muslim , book 7 hadith 8
The people (mostly) were workers and they had no servants. Bad-smell thus emitted out of them. It was said to them: Were you to take bath on Friday.
Sahih muslim,. book 7 hadith 9
Abu Huraira reported that the Messenger of Allah (ﷺ) said. it is the right of Allah upon every Muslim that he should take a bath (at least) on one day (Friday) during the seven days (of the week) and he should wash his head and body.
Sahih Muslim book of Friday
Book 7, Hadith 13
Abu Huraira reported that the Messenger of, Allah (ﷺ) said. He who takes a bath on Friday, the bath which is obligatory after the sexual discharge and then goes (to the mosque), he is like one who offers a she-camel as a sacrifice, and he who comes at the second hour would be like one who offers a cow, and he who comes at the third hour is live one who offers a ram with horns, and he who comes at the fourth hour is like one who offers a hen, and he who comes at the fifth hour is like one who offers an egg. And when the Imam comes out, the angels are also present and listen to the mention of God (the sermon).
In-book : Book 7, Hadith 14
Ghusl on Friday is extreme recommended and a person should take bath as far as possible although as it is not the bath or gusl of impurity (janabat) so if a person not able to take bath he must be pray Friday prayer because this bath is not obligation for Friday prayer