You people say that Abu Huraira tells many narrations from Messenger of Allah ﷺ and you also wonder why the emigrants and Ansar do not narrate from Messenger of Allah ﷺ as Abu Huraira does. My emigrant brothers were busy in the market while I used to stick to Messenger of Allah ﷺ content with what fills my stomach; so I used to be present when they were absent and I used to remember when they used to forget, and my Ansari brothers used to be busy with their properties and I was one of the poor men of Suffa. I used to remember the narrations when they used to forget. No doubt, Messenger of Allah ﷺ once said, "Whoever spreads his garment till I have finished my present speech and then gathers it to himself, will remember whatever I will say." So, I spread my colored garment which I was wearing till Messenger of Allah ﷺ had finished his saying, and then I gathered it to my chest. So, I did not forget any of that narrations. (Using translation from Bukhārī 2047)   

عَنْ رَسُولِ اللهِ ﷺ وَيَقُولُونَ مَا لِلْمُهَاجِرِينَ وَالْأَنْصَارِ لَا يُحَدِّثُونَ عَنْ رَسُولِ اللهِ ﷺ مِثْلَ أَبِي هُرَيْرَةَ وَأَنَّ إِخْوَانِي مِنَ الْمُهَاجِرِينَ كَانَ يَشْغَلُهُمُ الصَّفْقُ بِالْأَسْوَاقِ وَكَانَ يَشْغَلُ إِخْوَانِي مِنَ الْأَنْصَارِ عَمَلُ أَمْوَالِهِمْ وَكُنْتُ امْرَأً مِسْكِينًا مِنْ مَسَاكِينِ الصُّفَّةِ أَلْزَمُ رَسُولَ اللهِ ﷺ عَلَى مِلْءِ بَطْنِي فَأَحْضُرُ حِينَ يَغِيبُونَ وَأَعِي حِينَ يَنْسَوْنَ وَقَدْ قَالَ رَسُولُ اللهِ ﷺ فِي حَدِيثٍ يُحَدِّثُهُ يَوْمًا إِنَّهُ «لَنْ يَبْسُطَ أَحَدٌ ثَوْبَهُ حَتَّى أَقْضِيَ مَقَالَتِي هَذِهِ ثُمَّ يَجْمَعُ إِلَيْهِ ثَوْبَهُ إِلَّا وَعَى مَا أَقُولُ» فَبَسَطْتُ نَمِرَةً عَلَيَّ حَتَّى إِذَا قَضَى رَسُولُ اللهِ ﷺ مَقَالَتَهُ جَمَعْتُهَا إِلَى صَدْرِي فَمَا نَسِيتُ مِنْ مَقَالَةِ رَسُولِ اللهِ ﷺ تِلْكَ شَيْئًا  

People say that I have narrated many Hadiths (The Prophet's narration). Had it not been for two verses in the Qur'an, I would not have narrated a single Hadith, and the verses are: "Verily those who conceal the clear sign and the guidance which We have sent down . . . (up to) Most Merciful." (2:159-160). And no doubt our Muhajir (emigrant) brothers used to be busy in the market with their business (bargains) and our Ansari brothers used to be busy with their property (agriculture). But I (Abu Huraira) used to stick to Messenger of Allah ﷺ contented with what will fill my stomach and I used to attend that which they used not to attend and I used to memorize that which they used not to memorize. (Using translation from Bukhārī 118)   

إِنَّ النَّاسَ يَقُولُونَ أَكْثَرَ أَبُو هُرَيْرَةَ وَاللهِ لَوْلَا آيَتَانِ فِي كِتَابِ اللهِ مَا حَدَّثْتُ حَدِيثًا ثُمَّ يَتْلُو {إِنَّ الَّذِينَ يَكْتُمُونَ مَا أَنْزَلْنَا مِنَ الْبَيِّنَاتِ وَالْهُدَى مِنْ بَعْدِ مَا بَيَّنَّاهُ لِلنَّاسِ فِي الْكِتَابِ} [البقرة 159] إِلَى {التَّوَّابُ الرَّحِيمُ} [البقرة 160] وَيَقُولُ عَلَى أَثَرِ الْآيَتَيْنِ إِنَّ إِخْوَانَنَا مِنَ الْأَنْصَارِ كَانَ يَشْغَلُهُمُ الْعَمَلُ فِي أَمْوَالِهِمْ وَإِنَّ إِخْوَانَنَا مِنَ الْمُهَاجِرِينَ كَانَ يَشْغَلُهُمُ الصَّفْقُ بِالْأَسْوَاقِ وَإِنَّ أَبَا هُرَيْرَةَ كَانَ يَلْزَمُ رَسُولَ اللهِ ﷺ لِشِبَعِ بَطْنِهِ وَيَحْضُرُ مَا لَا يَحْضُرُونَ وَيَحْفَظُ مَا لَا يَحْفَظُونَ  

Abu Huraira said, "You people claim that Abu Huraira narrates many narrations of Messenger of Allah ﷺ. (Anyhow) with Allah will be our appointment. I was a poor man, and used to stick to Messenger of Allah ﷺ contented with what will fill my stomach, and the Muhajirin (emigrants) used to be busy trading in the markets, and the Ansar used to be busy looking after their properties. One-day I heard Messenger of Allah ﷺ saying, 'Who will spread his Rida' (a garment covering the upper part of the body) till I finished my speech and then fold it, (i.e. wrap it over your body), in which case he will never forget anything he had heard from me." So I spread my garment which I was wearing; and by Him Who sent Muhammad with the Truth, ever since, I have never forgotten whatever I heard from him (the Prophet)" (See, Hadith No. 119, Vol. 1) (Using translation from Bukhārī 7354)   

عَنْ رَسُولِ اللهِ ﷺ وَاللهُ الْمَوْعِدُ أَنِّي كُنْتُ امْرَأً مِسْكِينًا أَصْحَبُ رَسُولَ اللهِ ﷺ عَلَى مِلْءِ بَطْنِي وَكَانَ الْمُهَاجِرُونَ يَشْغَلُهُمُ الصَّفْقُ فِي الْأَسْوَاقِ وَكَانَتِ الْأَنْصَارُ يَشْغَلُهُمُ الْقِيَامُ عَلَى أَمْوَالِهِمْ فَشَهِدْتُ مِنْ رَسُولِ اللهِ ﷺ مَجْلِسًا فَقَالَ «مَنْ يَبْسُطُ رِدَاءَهُ حَتَّى اقْضِيَ مَقَالَتِي فَلَا يَنْسَى شَيْئًا سَمِعَهُ مِنِّي» فَبَسَطْتُ بُرْدَةً كَانَتْ عَلَيَّ حَتَّى قَضَى رَسُولُ اللهِ ﷺ مَقَالَتَهُ ثُمَّ ضَمَمْتُهَا إِلَيَّ فَوَالَّذِي بَعَثَهُ بِالْحَقِّ مَا نَسِيتُ شَيْئًا سَمِعْتُهُ مِنْهُ  

"I heard Ibn 'Abbas saying: 'We used to memorize Ahadith, and Ahadith were memorized from the Messenger of Allah ﷺ. But if you go to the extremes of either exaggeration or negligence (in narrating Ahadith), there is no way we can trust your Ahadith.'" (Using translation from Ibn Mājah 27)   

عَنْ رَسُولِ اللهِ ﷺ فَأَمَّا إِذَا رَكِبْتُمْ كُلَّ صَعْبٍ وَذَلُولٍ فَهَيْهَاتَ»