What is the Greatest Common Factor of 50800 and 50809?

Greatest common factor (GCF) of 50800 and 50809 is 1.

GCF(50800,50809) = 1

We will now calculate the prime factors of 50800 and 50809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50809.

How to find the GCF of 50800 and 50809?

We will first find the prime factorization of 50800 and 50809. After we will calculate the factors of 50800 and 50809 and find the biggest common factor number .

Step-1: Prime Factorization of 50800

Prime factors of 50800 are 2, 5, 127. Prime factorization of 50800 in exponential form is:

50800 = 2⁴ × 5² × 127¹

Step-2: Prime Factorization of 50809

Prime factors of 50809 are 11, 31, 149. Prime factorization of 50809 in exponential form is:

50809 = 11¹ × 31¹ × 149¹

Step-3: Factors of 50800

List of positive integer factors of 50800 that divides 50800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 127, 200, 254, 400, 508, 635, 1016, 1270, 2032, 2540, 3175, 5080, 6350, 10160, 12700, 25400

Step-4: Factors of 50809

List of positive integer factors of 50809 that divides 50800 without a remainder.

1, 11, 31, 149, 341, 1639, 4619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50809. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50809 is 1.

Also check out the Least Common Multiple of 50800 and 50809