What is the Greatest Common Factor of 50778 and 50786?

Greatest common factor (GCF) of 50778 and 50786 is 2.

GCF(50778,50786) = 2

We will now calculate the prime factors of 50778 and 50786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50778 and 50786.

How to find the GCF of 50778 and 50786?

We will first find the prime factorization of 50778 and 50786. After we will calculate the factors of 50778 and 50786 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 50786

Prime factors of 50786 are 2, 67, 379. Prime factorization of 50786 in exponential form is:

50786 = 2¹ × 67¹ × 379¹

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 50786

List of positive integer factors of 50786 that divides 50778 without a remainder.

1, 2, 67, 134, 379, 758, 25393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50778 and 50786. The biggest common factor number is the GCF number.
So the greatest common factor 50778 and 50786 is 2.

Also check out the Least Common Multiple of 50778 and 50786