What is the Greatest Common Factor of 50800 and 50807?

Greatest common factor (GCF) of 50800 and 50807 is 1.

GCF(50800,50807) = 1

We will now calculate the prime factors of 50800 and 50807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50807.

How to find the GCF of 50800 and 50807?

We will first find the prime factorization of 50800 and 50807. After we will calculate the factors of 50800 and 50807 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 50807

Prime factors of 50807 are 23, 47. Prime factorization of 50807 in exponential form is:

50807 = 23¹ × 47²

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 50807

List of positive integer factors of 50807 that divides 50800 without a remainder.

1, 23, 47, 1081, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50807. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50807 is 1.

Also check out the Least Common Multiple of 50800 and 50807