What is the Greatest Common Factor of 50792 and 50799?

Greatest common factor (GCF) of 50792 and 50799 is 7.

GCF(50792,50799) = 7

We will now calculate the prime factors of 50792 and 50799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50792 and 50799.

How to find the GCF of 50792 and 50799?

We will first find the prime factorization of 50792 and 50799. After we will calculate the factors of 50792 and 50799 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50799

Prime factors of 50799 are 3, 7, 41, 59. Prime factorization of 50799 in exponential form is:

50799 = 3¹ × 7¹ × 41¹ × 59¹

Step-3: Factors of 50792

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

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

Step-4: Factors of 50799

List of positive integer factors of 50799 that divides 50792 without a remainder.

1, 3, 7, 21, 41, 59, 123, 177, 287, 413, 861, 1239, 2419, 7257, 16933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50792 and 50799. The biggest common factor number is the GCF number.
So the greatest common factor 50792 and 50799 is 7.

Also check out the Least Common Multiple of 50792 and 50799