#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<ll, ll> P;

#define each(i,a) for (auto&& i : a)
#define FOR(i,a,b) for (ll i=(a),__last_##i=(b);i<__last_##i;i++)
#define RFOR(i,a,b) for (ll i=(b)-1,__last_##i=(a);i>=__last_##i;i--)
#define REP(i,n) FOR(i,0,n)
#define RREP(i,n) RFOR(i,0,n)
#define __GET_MACRO3(_1, _2, _3, NAME, ...) NAME
#define rep(...) __GET_MACRO3(__VA_ARGS__, FOR, REP)(__VA_ARGS__)
#define rrep(...) __GET_MACRO3(__VA_ARGS__, RFOR, RREP)(__VA_ARGS__)
#define pb push_back
#define all(a) (a).begin(),(a).end()
#define chmin(x,v) x = min(x, v)
#define chmax(x,v) x = max(x, v)

const ll linf = 1e18;
const int inf = 1e9;
const double eps = 1e-12;
const double pi = acos(-1);

template<typename T>
istream& operator>>(istream& is, vector<T>& vec) {
    each(x,vec) is >> x;
    return is;
}
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& vec) {
    rep(i,vec.size()) {
        if (i) os << " ";
        os << vec[i];
    }
    return os;
}
template<typename T>
ostream& operator<<(ostream& os, const vector< vector<T> >& vec) {
    rep(i,vec.size()) {
        if (i) os << endl;
        os << vec[i];
    }
    return os;
}
class MaxFlow {
public:
    struct Edge {
        ll to, cap, rev;
    };
    vector<vector<Edge>> G;
    vector<ll> iter;
private:
    bool is_debug;
    ll V;
    vector<ll> bfs(ll s) {
        vector<ll> dist(V, linf);
        dist[s] = 0;
        queue<ll> Q; Q.push(s);
        while ( !Q.empty() ) {
            ll v = Q.front(); Q.pop();
            each(e, G[v]) {
                if (e.cap > 0 && dist[e.to] == linf) {
                    dist[e.to] = dist[v]+1;
                    Q.push(e.to);
                }
            }
        }
        return dist;
    }
    ll dfs(ll v, ll t, ll f, const vector<ll>& dist, vector<bool>& used) {
        if (v == t) return f;
        if (used[v]) return 0;
        used[v] = true;
        for (ll& i = iter[v]; i < G[v].size(); ++i) {
            Edge& e = G[v][i];
            if (e.cap > 0 && dist[e.to] == dist[v]+1) {
                ll d = dfs(e.to, t, min(f, e.cap), dist, used);
                if (d > 0) {
                    e.cap -= d;
                    G[e.to][e.rev].cap += d;
                    return d;
                }
            }
        }
        return 0;
    }
public:
    const vector<vector<Edge>> Graph() {
        return G;
    }
    MaxFlow(ll V, bool is_debug=false) : V(V), G(V), is_debug(is_debug) {}
    void init(ll n) {
        V = n;
        G.assign(V, vector<Edge>());
    }
    void add(ll from, ll to, ll cap) {
        if (is_debug) cout << "ADD: " << from << " " << to << " " << cap << endl;
        assert(V > 0);
        G[from].pb({to, cap, (ll)G[to].size()});
        G[to].pb({from, 0, (ll)G[from].size()-1});
    }
    // S -> s, T -> t ??? inf ???????????§
    void add(ll from, ll to, ll min_flow, ll cap, ll S, ll T) {
        if (is_debug) cout << endl << "ADD_MIN:" << from << " " << to << " " << min_flow << " " << cap << endl;
        add(from, to, cap-min_flow);
        add(S, to, min_flow);
        add(from, T, cap);
        if (is_debug) cout << endl;
    }
    ll flow(ll s, ll t, ll f=linf) {
        ll res = 0;
        while (f > 0) {
            vector<ll> dist = bfs(s);
            if (dist[t] == linf) break;
            iter.assign(G.size(), 0);
            while (f > 0) {
                vector<bool> used(V, false);
                ll df = dfs(s, t, f, dist, used);
                if (df == 0) break;
                f -= df;
                res += df;
            }
        }
        return res;
    }
};
vector<ll> prime_divisors(ll n) {
    vector<ll> res;
    for (ll i = 2; i*i <= n; ++i) {
        if (n % i != 0) continue;
        res.pb(i);
        while (n % i == 0) n /= i;
    }
    if (n > 1) res.pb(n);
    sort(all(res));
    return res;
}
ll gcd(ll a, ll b) {
    return b == 0 ? a : gcd(b, a%b);
}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    ll n, m;
    while (cin >> n >> m, n || m) {
        vector<ll> a(n), b(m); cin >> a >> b;
        // ll s = n+m, t = s+1;
        // MaxFlow mf(t+1);
        // rep(i, n) rep(j, m) {
        //     if (gcd(a[i], b[j]) > 1) {
        //         mf.add(i, n+j, 1);
        //     }
        // }
        // rep(i, n) mf.add(s, i, 1);
        // rep(i, m) mf.add(n+i, t, 1);
        vector<vector<ll>> ad(n), bd(m);
        map<ll,ll> id;
        rep(i, n) ad[i] = prime_divisors(a[i]);
        rep(i, m) bd[i] = prime_divisors(b[i]);
        rep(i, n) each(x, ad[i]) id[x];
        rep(i, m) each(x, bd[i]) id[x];
        ll lid = 0;
        each(p, id) p.second = lid++;
        ll ids = lid;
        ll s = n+m+ids, t = s+1;
        MaxFlow mf(t+1);
        rep(i, n) mf.add(s, i, 1);
        rep(i, m) mf.add(n+i, t, 1);
        rep(i, n) each(x, ad[i]) mf.add(i, n+m+id[x], 1);
        rep(i, m) each(x, bd[i]) mf.add(n+m+id[x], n+i, 1);
        cout << mf.flow(s, t) << endl;
    }
}

Measured memory_bytes: 3468