Java, 100 98 Bytes (only loop, full code is 154 bytes, see bottom)

for(int i=1;i<101;i++){String s=i%3<1?"Fizz":"";s=i%5<1?s+"Buzz":s;System.out.println(s==""?i:s);}

probably could be a lot smaller, I just started to learn java a few days ago (although I do have experience in other languages), this is the best I can do. breakdown of how it works, sorry if I get some terms wrong or explain stuff badly

for(int i=1;i<101;i++) 

just the loop, starts at 1 goes to 100

{String s=i%3<1?"Fizz":"";

Making a string called "s", equal to a value, if "i" is divisible by 3 with a remainder of less than 1 (1 character/byte smaller than checking ==0), set "s" equal to "buzz". If it isn't, set it equal to "".

s=i%5<1?s+"Buzz":s;

set s equal to a value: if i is divisible by 5 with a remainder of less than 1 , set s equal to s + "buzz", if it isn't, set it equal to itself

System.out.println(s==""?i:s);}

System.out.println is just a simple print statement, inside it, check if s is equal to "" (if s wasn't divisible by 3 or 5, it would be "") print i (the number), otherwise print s

feedback is greatly appreciated. Edit: 98 bytes for just the loop, below is what I think the full script would be, 154 bytes : (

public class f{public static void main(String args[]){for(int i=1;i<101;i++){String s=i%3<1?"Fizz":"";s=i%5<1?s+"Buzz":s;System.out.println(s==""?i:s);}}}