What is the Greatest Common Factor of 50778 and 50791?

Greatest common factor (GCF) of 50778 and 50791 is 13.

GCF(50778,50791) = 13

We will now calculate the prime factors of 50778 and 50791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50778 and 50791.

How to find the GCF of 50778 and 50791?

We will first find the prime factorization of 50778 and 50791. After we will calculate the factors of 50778 and 50791 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 50791

Prime factors of 50791 are 13, 3907. Prime factorization of 50791 in exponential form is:

50791 = 13¹ × 3907¹

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 50791

List of positive integer factors of 50791 that divides 50778 without a remainder.

1, 13, 3907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50778 and 50791. The biggest common factor number is the GCF number.
So the greatest common factor 50778 and 50791 is 13.

Also check out the Least Common Multiple of 50778 and 50791