diff --git a/telethon_tests/crypto_test.py b/telethon_tests/crypto_test.py
index 96bdb5e9..cec18084 100644
--- a/telethon_tests/crypto_test.py
+++ b/telethon_tests/crypto_test.py
@@ -3,6 +3,8 @@ from hashlib import sha1
 
 import telethon.helpers as utils
 from telethon.crypto import AES, Factorization
+from telethon.crypto import rsa
+from Crypto.PublicKey import RSA as PyCryptoRSA
 
 
 class CryptoTests(unittest.TestCase):
@@ -117,10 +119,25 @@ class CryptoTests(unittest.TestCase):
         assert iv == expected_iv, 'Key ("{}") does not equal expected ("{}")'.format(
             key, expected_iv)
 
+    @staticmethod
+    def test_fingerprint_from_key():
+        assert rsa._compute_fingerprint(PyCryptoRSA.importKey(
+            '-----BEGIN RSA PUBLIC KEY-----\n'
+            'MIIBCgKCAQEAwVACPi9w23mF3tBkdZz+zwrzKOaaQdr01vAbU4E1pvkfj4sqDsm6\n'
+            'lyDONS789sVoD/xCS9Y0hkkC3gtL1tSfTlgCMOOul9lcixlEKzwKENj1Yz/s7daS\n'
+            'an9tqw3bfUV/nqgbhGX81v/+7RFAEd+RwFnK7a+XYl9sluzHRyVVaTTveB2GazTw\n'
+            'Efzk2DWgkBluml8OREmvfraX3bkHZJTKX4EQSjBbbdJ2ZXIsRrYOXfaA+xayEGB+\n'
+            '8hdlLmAjbCVfaigxX0CDqWeR1yFL9kwd9P0NsZRPsmoqVwMbMu7mStFai6aIhc3n\n'
+            'Slv8kg9qv1m6XHVQY3PnEw+QQtqSIXklHwIDAQAB\n'
+            '-----END RSA PUBLIC KEY-----'
+        )) == b'!k\xe8l\x02+\xb4\xc3', 'Wrong fingerprint calculated'
+
     @staticmethod
     def test_factorize():
         pq = 3118979781119966969
         p, q = Factorization.factorize(pq)
+        if p > q:
+            p, q = q, p
 
         assert p == 1719614201, 'Factorized pair did not yield the correct result'
         assert q == 1813767169, 'Factorized pair did not yield the correct result'