#![allow(unused_imports)]

fn main() {
    input! {
        n: usize, k: usize,
        a: [usize; n],
        b: [usize; n],
    }
    let a = a
        .into_iter()
        .map(|a| {
            (1..)
                .take_while(|i| i * i <= a)
                .flat_map(|i| {
                    if a.is_multiple_of(i) {
                        vec![i, a / i]
                    } else {
                        vec![]
                    }
                })
                .sorted()
                .collect_vec()
        })
        .collect_vec();
    let (mut ok, mut ng) = (0usize, 100_000 + 1);
    while ok.abs_diff(ng) > 1 {
        let mid = (ok + ng) / 2;
        let mut sum = 0usize;
        for (a, &b) in izip!(&a, &b) {
            let mut cnt = usize::MAX;
            for &d in a {
                if d >= mid {
                    chmin!(cnt, b.div_ceil(d) * d - b);
                }
            }
            sum = sum.saturating_add(cnt);
        }
        *if sum <= k { &mut ok } else { &mut ng } = mid;
    }
    println!("{ok}");
}

use itertools::{Itertools as _, iproduct, izip};
use proconio::{input, marker::*};
use std::{cmp::Reverse, collections::*};

#[macro_export]
macro_rules! chmax {
    ($a:expr, $b:expr) => {{
        let tmp = $b;
        if $a < tmp {
            $a = tmp;
            true
        } else {
            false
        }
    }};
}

#[macro_export]
macro_rules! chmin {
    ($a:expr, $b:expr) => {{
        let tmp = $b;
        if $a > tmp {
            $a = tmp;
            true
        } else {
            false
        }
    }};
}

#[macro_export]
/// mvec![]
macro_rules! mvec {
    ($val:expr; ()) => {
        $val
    };
    ($val:expr; ($size:expr $(,$rest:expr)*)) => {
        vec![mvec![$val; ($($rest),*)]; $size]
    };
}