What is the Greatest Common Factor of 50778 and 50796?

Greatest common factor (GCF) of 50778 and 50796 is 18.

GCF(50778,50796) = 18

We will now calculate the prime factors of 50778 and 50796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50778 and 50796.

How to find the GCF of 50778 and 50796?

We will first find the prime factorization of 50778 and 50796. After we will calculate the factors of 50778 and 50796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50796

Prime factors of 50796 are 2, 3, 17, 83. Prime factorization of 50796 in exponential form is:

50796 = 2² × 3² × 17¹ × 83¹

Step-3: Factors of 50778

List of positive integer factors of 50778 that divides 50778 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

Step-4: Factors of 50796

List of positive integer factors of 50796 that divides 50778 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 83, 102, 153, 166, 204, 249, 306, 332, 498, 612, 747, 996, 1411, 1494, 2822, 2988, 4233, 5644, 8466, 12699, 16932, 25398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50778 and 50796. The biggest common factor number is the GCF number.
So the greatest common factor 50778 and 50796 is 18.

Also check out the Least Common Multiple of 50778 and 50796