He did ghusl with the intention of doing it for Jumu‘ah and he forgot about doing it for janaabah; did it remove his impurity?.,Dought & clear,-

There is a person who was in a state of janaabah and he wanted to do
ghusl for janaabah, but he said: I shall wait until the time for
Jumu'ah comes, then I will do one ghusl for both Jumu'ah and janaabah.
That was afterFajr prayer. But when the time for Jumu'ah came, he did
ghusl for Jumu'ah and forgot to intend to do ghusl for janaabah. Then
he prayed for an entire day,until Zuhr on Saturday, and he led the
people in praying Zuhr. Then after Zuhr he remembered. Was his prayer
and the prayer of the people valid? Should he tell the people about
that?.
Praise be to Allaah.
Firstly:
It is better for the one who is in a state of janaabah to hasten to do
ghusl lest he forget. This has been discussed previously in the
answerto question no. 20847
Secondly:
If a person does ghusl for Jumu'ah and forgets about being in a state
ofmajor impurity, his impurity is removed, according to the correct
scholarly opinion. Al-Bahooti (may Allah have mercy on him) said:If he
intends to do a Sunnah ghusl, such as ghusl for Jumu'ah or 'Eid, it
suffices for an obligatory ghusl such as in the case of janaabah and
so on, if he forgot about the impurity which made it obligatory.
End quote from Kashshaaf al-Qinaa', 1/89.
Al-Hajjaawi said in Zaad al-Mustaqni': If he intended to do a
Sunnahghusl, it suffices for an obligatory one. End quote.
Shaykh Ibn 'Uthaymeen (may Allah have mercy on him) said: For example,
if he does ghusl after washing a deceased person or he does ghusl for
entering ihraam or for standing in 'Arafah, these are Sunnah ghusls.
The sameapplies to ghusl for Jumu'ah according to the majority of
scholars.
The apparent meaning of the author's words (al-Hajjaawi) – which is
our madhhab – is: If he remembers that he had to do an obligatory
ghusl, some of our companions limited it to the case where he forgot
that he was in a state of impurity, i.e., he forgot about being in a
state of janaabah. If he had not forgotten that then it does not
remove the impurity, because the Sunnah ghusl is not done to remove
impurity, and if it was not done to remove impurity, the Prophet
(blessings and peace of Allah be upon him) said: "Actions are but by
intentions," and this man only intended to dothe Sunnah ghusl and
heknew that he was in a state of janaabah and was aware of that, so
how could it remove the impurity?
This opinion – which restricts it to cases where one forgot – is valid.
The basis for this view is that because the Sunnahghusl is an act of
purification that is prescribed in sharee'ah, it does remove the
impurity. But this explanation is somewhatflawed, because there is no
doubt that it is a ghusl that is prescribed in sharee'ah, but it is of
a lesser standing that obligatory ghusl for janaabah, so how can a
Sunnah action be strong enough to suffice for an obligatory action
that is of a higher standing?
But if he had forgotten, then he is excused.
For example, if he did ghusl for Jumu'ah – on the basis that it is
Sunnah – and he was in a state of janaabah but did not remember that,
or he did not realise thathe had been in a state ofjanaabah until
after the prayer, such as if he had a wet dream and did notrealise
until after the prayer, then his Jumu'ahprayer is valid because the
impurity was removed.
But if he was aware of it and he intended to do the Sunnah ghusl only,
then the view that it suffices is not quite certain.
End quote from ash-Sharh al-Mumti', 1/201
Based on that, your ghusl was valid and did remove the janaabah, and
your prayer was valid.
And Allah knows best.