What is the Greatest Common Factor of 50764 and 50778?

Greatest common factor (GCF) of 50764 and 50778 is 14.

GCF(50764,50778) = 14

We will now calculate the prime factors of 50764 and 50778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50764 and 50778.

How to find the GCF of 50764 and 50778?

We will first find the prime factorization of 50764 and 50778. After we will calculate the factors of 50764 and 50778 and find the biggest common factor number .

Step-1: Prime Factorization of 50764

Prime factors of 50764 are 2, 7, 37. Prime factorization of 50764 in exponential form is:

50764 = 2² × 7³ × 37¹

Step-2: Prime Factorization of 50778

Prime factors of 50778 are 2, 3, 7, 13, 31. Prime factorization of 50778 in exponential form is:

50778 = 2¹ × 3² × 7¹ × 13¹ × 31¹

Step-3: Factors of 50764

List of positive integer factors of 50764 that divides 50764 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 343, 518, 686, 1036, 1372, 1813, 3626, 7252, 12691, 25382

Step-4: Factors of 50778

List of positive integer factors of 50778 that divides 50764 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 31, 39, 42, 62, 63, 78, 91, 93, 117, 126, 182, 186, 217, 234, 273, 279, 403, 434, 546, 558, 651, 806, 819, 1209, 1302, 1638, 1953, 2418, 2821, 3627, 3906, 5642, 7254, 8463, 16926, 25389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50764 and 50778. The biggest common factor number is the GCF number.
So the greatest common factor 50764 and 50778 is 14.

Also check out the Least Common Multiple of 50764 and 50778