diff --git a/extensions/README.md b/extensions/README.md
index 9914fbfbf..6f5feb55c 100644
--- a/extensions/README.md
+++ b/extensions/README.md
@@ -3,12 +3,12 @@
 ## 📌 Table of Contents
 
 - [🔌 Extensions](#-extensions)
-    - [📌 Table of Contents](#-table-of-contents)
-    - [📚 Introduction](#-introduction)
-    - [🪅 Design](#-design)
-    - [🛠 API Usage](#-api-usage)
-    - [🏗 Write a customized extension](#-write-a-customized-extension)
-    - [✏️ Acknowledgement](#️-acknowledgement)
+  - [📌 Table of Contents](#-table-of-contents)
+  - [📚 Introduction](#-introduction)
+  - [🪅 Design](#-design)
+  - [🛠 API Usage](#-api-usage)
+  - [🏗 Write a customized extension](#-write-a-customized-extension)
+  - [✏️ Acknowledgement](#️-acknowledgement)
 
 ## 📚 Introduction
 
@@ -46,12 +46,12 @@ kernel = CPUAdamLoader().load()
 
 - Case 2: Load a specific kernel
 
-This case applies if you are familar with the extensions available.
+This case applies if you are familiar with the extensions available.
 
 ```python
 from colossalai.kernel.kernel_loader import CPUAdamLoader
 
-# load the kernel by giving the kernal name
+# load the kernel by giving the kernel name
 kernel = CPUAdamLoader().load(ext_name="cpu_adam_arm")
 ```
 
diff --git a/extensions/cuda_extension.py b/extensions/cuda_extension.py
index 188e61b60..b5e8a285b 100644
--- a/extensions/cuda_extension.py
+++ b/extensions/cuda_extension.py
@@ -20,7 +20,7 @@ class _CudaExtension(_CppExtension):
         """
 
     def is_hardware_available(self) -> bool:
-        # cuda extension can only be built if cuda is availabe
+        # cuda extension can only be built if cuda is available
         try:
             import torch
 
diff --git a/extensions/flash_attention/flash_attention_dao_cuda.py b/extensions/flash_attention/flash_attention_dao_cuda.py
index 6e2a9a880..1b7f8ac47 100644
--- a/extensions/flash_attention/flash_attention_dao_cuda.py
+++ b/extensions/flash_attention/flash_attention_dao_cuda.py
@@ -6,7 +6,7 @@ class FlashAttentionDaoCudaExtension(_Extension):
         super().__init__(name="flash_attention_dao_cuda", support_aot=False, support_jit=False, priority=10)
 
     def is_hardware_available(self) -> bool:
-        # cuda extension can only be built if cuda is availabe
+        # cuda extension can only be built if cuda is available
         try:
             import torch
 
diff --git a/extensions/flash_attention/flash_attention_xformers_cuda.py b/extensions/flash_attention/flash_attention_xformers_cuda.py
index 737b8599f..27cd823de 100644
--- a/extensions/flash_attention/flash_attention_xformers_cuda.py
+++ b/extensions/flash_attention/flash_attention_xformers_cuda.py
@@ -6,7 +6,7 @@ class FlashAttentionXformersCudaExtension(_Extension):
         super().__init__(name="flash_attention_xformers_cuda", support_aot=False, support_jit=False)
 
     def is_hardware_available(self) -> bool:
-        # cuda extension can only be built if cuda is availabe
+        # cuda extension can only be built if cuda is available
         try:
             import torch
 
diff --git a/extensions/triton_extension.py b/extensions/triton_extension.py
index b3f61644e..9f0792f8c 100644
--- a/extensions/triton_extension.py
+++ b/extensions/triton_extension.py
@@ -8,7 +8,7 @@ class _TritonExtension(_Extension):
         super().__init__(name, support_aot=False, support_jit=True, priority=priority)
 
     def is_hardware_compatible(self) -> bool:
-        # cuda extension can only be built if cuda is availabe
+        # cuda extension can only be built if cuda is available
         try:
             import torch