Default [Q]Compiling Kernel on Phone?

I am compiling a kernel on my phone right now using gcc for armhf (if not its armel), so my question is:

Do I need to us an arm-abi toolchain or what ever?

I ask becasue this is not cross compiling, I have the source on my pc and is served via NFS. I have a glibc stack with Android and I just log-in with /bin/su to get the gnu-environment.
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Some Usefull links: // Good read on the Android specificities of the kernel // Info on Binder and ashmem and how to share memory!