package projectEuler;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class ProjectEuler003 {

	static class ProblemSolver{
		public void solveTheProblem(InputReader in,PrintWriter out){
			int t=in.nextInt();
			while(t-- >0){
				long n=in.nextLong();
				long lim=(long) Math.sqrt(n);
				long div=2;
				while(n!=1 && div<=lim){
					while(n%div==0)n/=div;
					if(n!=1)++div;
				}
				out.println(Math.max(div, n));
			}
		}
	}

	//Default template for all the codes
	static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream),32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

        public double nextDouble(){
        	return Double.parseDouble(next());
        }

        public String readLine(){
			String s = "";
        	try {
        		s=reader.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
        	return s;
        }
    }

	//Main method for all the codes
	public static void main(String[] args) {
		InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
		ProblemSolver problemSolver = new ProblemSolver();
		problemSolver.solveTheProblem(in, out);
		out.close();
	}

}