What is the Greatest Common Factor of 50794 and 50800?

Greatest common factor (GCF) of 50794 and 50800 is 2.

GCF(50794,50800) = 2

We will now calculate the prime factors of 50794 and 50800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50794 and 50800.

How to find the GCF of 50794 and 50800?

We will first find the prime factorization of 50794 and 50800. After we will calculate the factors of 50794 and 50800 and find the biggest common factor number .

Step-1: Prime Factorization of 50794

Prime factors of 50794 are 2, 109, 233. Prime factorization of 50794 in exponential form is:

50794 = 2¹ × 109¹ × 233¹

Step-2: 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-3: Factors of 50794

List of positive integer factors of 50794 that divides 50794 without a remainder.

1, 2, 109, 218, 233, 466, 25397

Step-4: Factors of 50800

List of positive integer factors of 50800 that divides 50794 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50794 and 50800. The biggest common factor number is the GCF number.
So the greatest common factor 50794 and 50800 is 2.

Also check out the Least Common Multiple of 50794 and 50800