diff --git a/gulpfile.js b/gulpfile.js
index d586571e6..387df8f42 100644
--- a/gulpfile.js
+++ b/gulpfile.js
@@ -78,9 +78,9 @@ const config = JSON.parse(fs.readFileSync(CONFIG_FILE).toString());
 const AUTOPREFIXER_CONFIG = {
   overrideBrowserslist: [
     "last 2 versions",
-    "Chrome >= 68",
+    "Chrome >= 73",
     "Firefox ESR",
-    "Safari >= 11.1",
+    "Safari >= 12.1",
     "> 0.5%",
     "not IE > 0",
     "not dead",
@@ -1346,7 +1346,7 @@ gulp.task(
         ),
         preprocessCSS("web/viewer.css", "chrome", defines, true)
           .pipe(
-            postcss([autoprefixer({ overrideBrowserslist: ["chrome >= 68"] })])
+            postcss([autoprefixer({ overrideBrowserslist: ["Chrome >= 73"] })])
           )
           .pipe(gulp.dest(CHROME_BUILD_CONTENT_DIR + "web")),
 
diff --git a/src/shared/compatibility.js b/src/shared/compatibility.js
index 3eed8a577..b3bdbb353 100644
--- a/src/shared/compatibility.js
+++ b/src/shared/compatibility.js
@@ -18,14 +18,8 @@ import { isNodeJS } from "./is_node.js";
 // Skip compatibility checks for modern builds and if we already ran the module.
 if (
   (typeof PDFJSDev === "undefined" || !PDFJSDev.test("SKIP_BABEL")) &&
-  (typeof globalThis === "undefined" || !globalThis._pdfjsCompatibilityChecked)
+  !globalThis._pdfjsCompatibilityChecked
 ) {
-  // Provides support for `globalThis` in legacy browsers.
-  // Support: Firefox<65, Chrome<71, Safari<12.1, Node.js<12.0.0
-  if (typeof globalThis === "undefined" || globalThis.Math !== Math) {
-    // eslint-disable-next-line no-global-assign
-    globalThis = require("core-js/es/global-this");
-  }
   globalThis._pdfjsCompatibilityChecked = true;
 
   // Support: Node.js
@@ -58,15 +52,6 @@ if (
     globalThis.DOMMatrix = require("dommatrix/dist/dommatrix.js");
   })();
 
-  // Provides support for Object.fromEntries in legacy browsers.
-  // Support: Firefox<63, Chrome<73, Safari<12.1, Node.js<12.0.0
-  (function checkObjectFromEntries() {
-    if (Object.fromEntries) {
-      return;
-    }
-    require("core-js/es/object/from-entries.js");
-  })();
-
   // Provides support for *recent* additions to the Promise specification,
   // however basic Promise support is assumed to be available natively.
   // Support: Firefox<71, Chrome<76, Safari<13, Node.js<12.9.0