What is the Greatest Common Factor of 50800 and 50812?

Greatest common factor (GCF) of 50800 and 50812 is 4.

GCF(50800,50812) = 4

We will now calculate the prime factors of 50800 and 50812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50800 and 50812.

How to find the GCF of 50800 and 50812?

We will first find the prime factorization of 50800 and 50812. After we will calculate the factors of 50800 and 50812 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 50812

Prime factors of 50812 are 2, 12703. Prime factorization of 50812 in exponential form is:

50812 = 2² × 12703¹

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 50812

List of positive integer factors of 50812 that divides 50800 without a remainder.

1, 2, 4, 12703, 25406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50800 and 50812. The biggest common factor number is the GCF number.
So the greatest common factor 50800 and 50812 is 4.

Also check out the Least Common Multiple of 50800 and 50812