What is the Greatest Common Factor of 50384 and 50400?

Greatest common factor (GCF) of 50384 and 50400 is 16.

GCF(50384,50400) = 16

We will now calculate the prime factors of 50384 and 50400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50384 and 50400.

How to find the GCF of 50384 and 50400?

We will first find the prime factorization of 50384 and 50400. After we will calculate the factors of 50384 and 50400 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 50400

Prime factors of 50400 are 2, 3, 5, 7. Prime factorization of 50400 in exponential form is:

50400 = 2⁵ × 3² × 5² × 7¹

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 50400

List of positive integer factors of 50400 that divides 50384 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 56, 60, 63, 70, 72, 75, 80, 84, 90, 96, 100, 105, 112, 120, 126, 140, 144, 150, 160, 168, 175, 180, 200, 210, 224, 225, 240, 252, 280, 288, 300, 315, 336, 350, 360, 400, 420, 450, 480, 504, 525, 560, 600, 630, 672, 700, 720, 800, 840, 900, 1008, 1050, 1120, 1200, 1260, 1400, 1440, 1575, 1680, 1800, 2016, 2100, 2400, 2520, 2800, 3150, 3360, 3600, 4200, 5040, 5600, 6300, 7200, 8400, 10080, 12600, 16800, 25200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50384 and 50400. The biggest common factor number is the GCF number.
So the greatest common factor 50384 and 50400 is 16.

Also check out the Least Common Multiple of 50384 and 50400