First numbers that belong to both sets:
4,
6,
9,
12,
15,
18,
26,
34,
39,
45,
56,
69,
99,
111,
129,
134,
138,
144,
225,
228,
236,
246,
266,
279,
288,
334,
348,
356,
399,
446,
459,
489,
566,
667,
1113,
1126,
1158,
1167,
1226,
1234,
1268,
1278,
1299,
1344,
1377,
1449,
1456,
1488,
1556,
1569,
1599,
1668,
1788,
2229,
2238,
2247,
2259,
2268,
2277,
2336,
2344,
2349,
2379,
2444,
2568,
2667,
2688,
2799,
3337,
3345,
3366,
3399,
3459,
3468,
3558,
3588,
3699,
4444,
4449,
4488,
4555,
4668,
4788,
5566,
5577,
5889,
6667,
6999,
11115,
11118,
11125,
11166,
11226,
11247,
11259,
11267,
11388,
11445,
11457,
11469,
11477,
11667,
11679,
11778,
12233,
12246,
12258,
12266,
12279,
12336,
12345,
12378,
12444,
12489,
13334,
13338,
13389,
13446,
13466,
13689,
14448,
14455,
14559,
14577,
14889,
15555,
15669,
15789,
15888,
16667,
16799,
17799,
22238,
22278,
22346,
22358,
22368,
22444,
22558,
22569,
22889,
23336,
23348,
23466,
23559,
23666,
23688,
24456,
24477,
25569,
25578,
27888,
27999,
33337,
33345,
33348,
33356,
33368,
33459,
33555,
33566,
33579,
33588,
34448,
34477,
34566,
35556,
35799,
35888,
36789,
39999,
44468,
44499,
44556,
45555,
45578,
45588,
46689,
46789,
47778,
47999,
55677,
55899,
56667,
57777,
57789,
58899,
66668,
66699,
66777,
69999,
77778,
77799,
78888,
111114,
111124,
111135,
111146,
111168,
111189,
111222,
111228,
111258,
111266,
111339,
111344,
111455,
111477,
111489,
111558,
111579,
112239,
112244,
112248,
112257,
112334,
112338,
112344,
112355,
112444,
112689,
112779,
112889,
113335,
113349,
113358,
113367,
113445,
113478,
113499,
113579,
113778,
114459,
114666,
114777,
114789,
114999,
115557,
115566,
115599,
115779,
115788,
116688,
118899,
122225,
122257,
122289,
122337,
122355,
122388,
122446,
122499,
122559,
122588,
122678,
122889,
123357,
123378,
123388,
123399,
123444,
123468,
123567,
123588,
123689,
123789,
123899,
123999,
124589,
124779,
124788,
126668,
133389,
133449,
133466,
133577,
134457,
134589,
134679,
135666.
Some larger examples :
55555556,
55555566,
55556688,
55557789,
55566666,
55566689,
55599999,
55666668,
55666688,
55668888,
55677999,
55678889,
55778888,
56666667,
56666788,
56667888,
57777999,
66688888,
66777899,
77778888.