Abu Huraira may Allah be pleased with him, said: "A man came to the Messenger of Allah, peace be upon him said: O Messenger of God, from the people is good Sahapti ?, said: (mother), he said: Then who? He said: (mother), he said: then who? he said: (mother), he said: then who? he said: (father) agreed.
This hadith is mentioned in the major hadith collections in many versions:
- In Sahih al-Bukhari and in his al-Adab al-Mufrad: 1 & 2.
- In Sahih Muslim: 1 & 2.
- In Sunan ibn Majah: 1 & 2.
all on the authority of abu Hurraira (May Allah be pleased with him).
A question or Note on your quote: the "agreed" which is in your Question may mean it's agreed upon by al-Bukhari and Muslim: For details see here. If this is the case this should already be a good sign for the authenticity of this hadith!
But there are similar narration on the authority of other sahaba (May Allah be pleased with them). For example:
As they are also qualified as hassan they show that not only abu Huraira heard this hadith and give it a much better authenticity.
Other narrations which prolong the list are also available. For example:
On the whole the hadith you mentioned seems to appear in most sunni hadith collections and seems to have a high degree of authenticity.
And Allah knows best!