import sys
readline = sys.stdin.readline

n,k = map(int,readline().split())
*a, = map(int,readline().split())

MOD = 998244353

from math import gcd
from collections import defaultdict

da = defaultdict(int)
for ai in a:
    da[gcd(ai,k)] += 1

def get(ai,num):
    d = defaultdict(int)
    d[1] = 1
    for _ in range(num):
        nd = d.copy()
        for r,v in d.items():
            nr = gcd(ai*r,k)
            nd[nr] += v
            nd[nr] %= MOD
        d = nd
    return d


d = defaultdict(int)
d[1] = 1
for ai,num in da.items():
    nd = defaultdict(int)
    for r,v in get(ai,num).items():
        for rr,vv in d.items():
            nr = gcd(r*rr,k)
            nd[nr] += v*vv
            nd[nr] %= MOD
    d = nd

ans = d[k] - int(k==1)
print(ans%MOD)