What is the Greatest Common Factor of 50800 and 50808?

Greatest common factor (GCF) of 50800 and 50808 is 8.

GCF(50800,50808) = 8

We will now calculate the prime factors of 50800 and 50808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50808.

How to find the GCF of 50800 and 50808?

We will first find the prime factorization of 50800 and 50808. After we will calculate the factors of 50800 and 50808 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 50808

Prime factors of 50808 are 2, 3, 29, 73. Prime factorization of 50808 in exponential form is:

50808 = 2³ × 3¹ × 29¹ × 73¹

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 50808

List of positive integer factors of 50808 that divides 50800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 73, 87, 116, 146, 174, 219, 232, 292, 348, 438, 584, 696, 876, 1752, 2117, 4234, 6351, 8468, 12702, 16936, 25404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50808. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50808 is 8.

Also check out the Least Common Multiple of 50800 and 50808