diff --git a/babel/dates.py b/babel/dates.py
index 7b626aa11..d0372d143 100644
--- a/babel/dates.py
+++ b/babel/dates.py
@@ -1480,7 +1480,7 @@ def __getitem__(self, name: str) -> str:
         else:
             raise KeyError(f"Unsupported date/time field {char!r}")
 
-    def extract(self, char: str) -> int:
+    def extract(self, char: str) -> int | str:
         char = str(char)[0]
         if char == 'y':
             return self.value.year
@@ -1496,6 +1496,12 @@ def extract(self, char: str) -> int:
             return self.value.minute
         elif char == 'a':
             return int(self.value.hour >= 12)  # 0 for am, 1 for pm
+        elif char == 'G':
+            return int(self.value.year >= 0)  # 0 for BCE, 1 for CE
+        elif char == 'B':
+            # The day period is rendered from the same identifier,
+            # so the extracted value matches what `format_period` renders.
+            return get_period_id(self.value, locale=self.locale)
         else:
             raise NotImplementedError(
                 f"Not implemented: extracting {char!r} from {self.value!r}",
diff --git a/tests/test_date_intervals.py b/tests/test_date_intervals.py
index 33a85d38a..ee52b75c1 100644
--- a/tests/test_date_intervals.py
+++ b/tests/test_date_intervals.py
@@ -61,3 +61,32 @@ def test_issue_825():
         locale='pt',
     )
     assert formatted == '1 h'
+
+
+@pytest.mark.parametrize(
+    ("start", "end", "skeleton", "expected"),
+    [
+        # Era ('G') interval formats used to raise NotImplementedError when
+        # computing the greatest difference between the two instants.
+        # A year difference must select the 'y' pattern of the "Gy" interval format.
+        (TEST_DT, TEST_DT.replace(year=2017), "Gy", "2016\u2009\u2013\u20092017 AD"),
+        (
+            TEST_DT,
+            TEST_DT.replace(year=2017, month=3),
+            "GyM",
+            "1/2016\u2009\u2013\u20093/2017 AD",
+        ),
+        # Day period ('B') interval formats used to raise NotImplementedError, too.
+        # Differing day periods must select the 'B' pattern of the "Bh" interval format.
+        (
+            TEST_DT,
+            TEST_DT.replace(hour=16),
+            "Bh",
+            "11 in the morning\u2009\u2013\u20094 in the afternoon",
+        ),
+        # ... and a shared day period must fall through to the 'h' pattern.
+        (TEST_DT, TEST_DT.replace(hour=10), "Bh", "11\u2009\u2013\u200910 in the morning"),
+    ],
+)
+def test_format_interval_era_and_day_period(start, end, skeleton, expected):
+    assert dates.format_interval(start, end, skeleton, locale="en") == expected