Sri Sri Suvarnavihari Gourahari and Sri Sri Radha Govinda

To the east, I will see Suvarnavihara, the place of King Suvarna Sena’s incomparable fort. As Gauracandra dances here with His associates, His attractive golden form is most enchanting. As I wander alone or with the devotees throughout Suvarnavihara, when will my voice waver as I weep in love? I will beg there at the lotus feet of Gauranga for a speck of service to Their Lordships Śrī Śrī Rādha and Kṛṣṇa. And then I will offer my very life to the shelter of Srimati Rādhārāṇī’s lotus feet.
(Sri Navadvipa Bhava-taranga)

If one does not understand in the beginning but continues to hear again and again, the wonderful effects of Lord Caitanya’s pastimes will bring love for Kṛṣṇa. Gradually one will come to understand the loving affairs between Kṛṣṇa and the gopīs and other associates of Vṛndāvana. Everyone is advised to continue to hear over and over again in order to greatly benefit.
(CC Madhya 2.87)

Kṛṣṇa is one, but when Kṛṣṇa wants to enjoy, He must expand His pleasure potency. That is Rādhārāṇī. Rādhā kṛṣṇa-praṇaya-vikṛtir. Kṛṣṇa cannot enjoy anything material. The original spiritual potency, pleasure potency, is Rādhārāṇī. So first of all He expanded, then again He combined together. That is Śrī Kṛṣṇa Caitanya Mahāprabhu. This is the study of the Gosvāmī. Rādhā kṛṣṇa-praṇaya-vikṛtir hlādinī.
Therefore Caitanya Mahāprabhu is given seat along with Kṛṣṇa. He's combination of Rādhā and Kṛṣṇa. We may not misunderstand that Caitanya Mahāprabhu is . . . imitating Caitanya Mahāprabhu, there are so many so-called avatāras. But this is approved by the śāstra. Kṛṣṇa-varṇaṁ tviṣākṛṣṇam (SB 11.5.32). Caitanya Mahāprabhu is Kṛṣṇa, same category, kṛṣṇa-varṇaṁ. Just like we say varṇa: brāhmaṇa varṇa, kṣatriya varṇa, śūdra varṇa, vaiśya varṇa. Varṇa means the same category, varṇa. Or kṛṣṇa-varṇaṁ means who is always describing Kṛṣṇa. Just like Caitanya Mahāprabhu is passing on the road, He's chanting,
kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa he
kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa he
kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa kṛṣṇa pāhi māṁ
(CC Madhya 7.96)
Therefore kṛṣṇa-varṇaṁ is He; iti kṛṣṇa. Kṛṣṇa is describing Himself: kṛṣṇa-varṇaṁ tviṣākṛṣṇam. But by His complexion, He is not black—very fair complexion.
(730306 - Lecture BG 10.01-3 - Calcutta)

There is no difference between Kṛṣṇa and Caitanya Mahāprabhu. Caitanya Mahāprabhu is combination of Rādhā and Kṛṣṇa. That is the verdict of the Gosvāmīs.
rādhā-kṛṣṇa-praṇaya-vikṛtir hlādinī-śaktir asmād
ekātmānāv api (bhuvi purā) deha-bhedaṁ gatau tau
caitanyākhyaṁ prakaṭam adhunā tad-dvayaṁ caikyam āptaṁ
rādhā-bhāva-dyuti-suvalitaṁ naumi kṛṣṇa-svarūpam
(CC Adi 1.5)
So Caitanya Mahāprabhu is combination of Rādhā and Kṛṣṇa. That is the . . . this śloka is made by Svarūpa Dāmodara Gosvāmī, who was personal secretary of Lord Caitanya.
So Caitanya Mahāprabhu is giving us the easiest process to approach Kṛṣṇa.
(710216 - Lecture CC Madhya 06.154 - Gorakhpur)