What is the Greatest Common Factor of 50800 and 50810?

Greatest common factor (GCF) of 50800 and 50810 is 10.

GCF(50800,50810) = 10

We will now calculate the prime factors of 50800 and 50810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50810.

How to find the GCF of 50800 and 50810?

We will first find the prime factorization of 50800 and 50810. After we will calculate the factors of 50800 and 50810 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 50810

Prime factors of 50810 are 2, 5, 5081. Prime factorization of 50810 in exponential form is:

50810 = 2¹ × 5¹ × 5081¹

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 50810

List of positive integer factors of 50810 that divides 50800 without a remainder.

1, 2, 5, 10, 5081, 10162, 25405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50810. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50810 is 10.

Also check out the Least Common Multiple of 50800 and 50810