import java.util.*;
import java.io.*;

class Main{
    public static void main(String[] args){
        FastScanner fsc=new FastScanner();
        int n=fsc.nextInt();
        long k=fsc.nextLong();
        long[] a=new long[n];
        long sum=0;
        for(int i=0;i<n;i++){
            a[i]=fsc.nextLong();
            sum+=a[i];
        }
        fsc.close();
        long[] b=new long[n];
        int zeros=n-1;
        for(long x=sum;x>=2;x--){
            while(zeros>0 && sum%(n-zeros)!=0) zeros--;
            if(zeros>0){
                x=sum/(n-zeros);
                zeros--;
            }
            else if(zeros==0){
                if(sum%n==0){
                    x=sum/n;
                    zeros--;
                }
                else{
                    x=sum/n+1;
                    zeros--;
                    continue;
                }
            }
            if(sum%x!=0) continue;
            System.arraycopy(a, 0, b, 0, n);
            for(int i=0;i<n;i++) b[i]%=x;
            Arrays.sort(b);
            int l=0, r=n-1;
            long t=k;
            if(b[r]==0){
                System.out.println(x);
                return;
            }
            while(b[l]==0) l++;
            while(true){
                if(b[l]==x-b[r]){
                    t-=b[l];
                    l++;
                    r--;
                }
                else if(b[l]>x-b[r]){
                    t-=x-b[r];
                    b[l]-=x-b[r];
                    r--;
                }
                else{
                    t-=b[l];
                    b[r]+=b[l];
                    l++;
                }
                if(t<0) break;
                if(r<=l){
                    System.out.println(x);
                    return;
                }
            } 
        }
        System.out.println(1);
    }
    static class FastScanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        private boolean hasNextByte(){
            if(ptr<buflen) return true;
            else{
                ptr = 0;
                try{
                    buflen = in.read(buffer);
                }
                catch(IOException e){
                    e.printStackTrace();
                }
                if(buflen<=0) return false;
            }
        return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) throw new NumberFormatException();
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }
                else if(b == -1 || !isPrintableChar(b)) return minus ? -n : n;
                else throw new NumberFormatException();
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
        public void close(){
            try{in.close();}
            catch(IOException e){e.printStackTrace();}
        }
    }
}

Measured memory_bytes: 26408