Without knowing your hardware specs...
Changing the fan speed is not the solution I'd be looking for. 60 C doesn't sound ridiculously high depending on the CPU load. On my core i7-680UM the temp idles at around 50C-55C and up to 75 C under load with turbo boost kicking in. You can check the maximum operating temperature of your CPU at the manufacturer's site. Have you searched to see what other temps folk are getting with the same setup and CPU? Fan speed is normally controlled by the BIOS and depending on your hardware, software control is not always possible/very difficult.
I'd recommend you do the following:
Check in to see what processes are running in task manager or your OS equivalent. If it's a new laptop (or old!) there might be a load of 'bloatware' running causing high CPU usage. Remove these using the add/remove programs in the control panel. Or, alternatively, use another piece of software to do this as recommended in the other answer. I can't advise one over another though I'd be careful as some of these can be 'malware'.
Consider a laptop cooling matt/stand. I use one for my Acer 1830T and it does an excellent job. There is a fan built into the stand that is powered via a USB port on the laptop.
Edit: Apologies, I've just seen your model in the title. The CPU is an i5-3230M, the Intel data sheet is here
I wouldn't lose any sleep over it. Follow the previous advice about removing software not required that might be using system resources and consider a stand/matt.