What is the Greatest Common Factor of 50778 and 50792?

Greatest common factor (GCF) of 50778 and 50792 is 14.

GCF(50778,50792) = 14

We will now calculate the prime factors of 50778 and 50792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50778 and 50792.

How to find the GCF of 50778 and 50792?

We will first find the prime factorization of 50778 and 50792. After we will calculate the factors of 50778 and 50792 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 50792

Prime factors of 50792 are 2, 7, 907. Prime factorization of 50792 in exponential form is:

50792 = 2³ × 7¹ × 907¹

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 50792

List of positive integer factors of 50792 that divides 50778 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 907, 1814, 3628, 6349, 7256, 12698, 25396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50778 and 50792. The biggest common factor number is the GCF number.
So the greatest common factor 50778 and 50792 is 14.

Also check out the Least Common Multiple of 50778 and 50792