A 32 bit processor is faster than a 64 bit processor, 64 bit processors are very commonly used that you can find it easily in any home pc but the main difference is the hardware you are having on your machine. For 32 bits there isn't any need of any wide main bus to carry 32 bits at a time but for 64 bits its must that you should have a wider bus to carry 64bits.

The main difference between a 32 bit and 64 is that 32 bit system has 4gb(gigabytes) of space for addressing means that the 32 bit system has a limit of 4GB RAM to process data where as the 64 bit operating system has 2^64 bits of space to address and supports 16 hexabytes of RAM to process data.

A person who does not care about the category will find 64 bit more beneficial than 32 bit because he can use 64 bit OS with 32 bit Os and softwares. If we compare 64 bit with 32 bit OS, 64 bit is faster and performs more upgraded silicon processes and have more no of transistors which proves it to be more advantageous than 32 bit.
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