What is the Greatest Common Factor of 50384 and 50404?

Greatest common factor (GCF) of 50384 and 50404 is 4.

GCF(50384,50404) = 4

We will now calculate the prime factors of 50384 and 50404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50384 and 50404.

How to find the GCF of 50384 and 50404?

We will first find the prime factorization of 50384 and 50404. After we will calculate the factors of 50384 and 50404 and find the biggest common factor number .

Step-1: Prime Factorization of 50384

Prime factors of 50384 are 2, 47, 67. Prime factorization of 50384 in exponential form is:

50384 = 2⁴ × 47¹ × 67¹

Step-2: Prime Factorization of 50404

Prime factors of 50404 are 2, 12601. Prime factorization of 50404 in exponential form is:

50404 = 2² × 12601¹

Step-3: Factors of 50384

List of positive integer factors of 50384 that divides 50384 without a remainder.

1, 2, 4, 8, 16, 47, 67, 94, 134, 188, 268, 376, 536, 752, 1072, 3149, 6298, 12596, 25192

Step-4: Factors of 50404

List of positive integer factors of 50404 that divides 50384 without a remainder.

1, 2, 4, 12601, 25202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50384 and 50404. The biggest common factor number is the GCF number.
So the greatest common factor 50384 and 50404 is 4.

Also check out the Least Common Multiple of 50384 and 50404