What is the Greatest Common Factor of 50400 and 50412?

Greatest common factor (GCF) of 50400 and 50412 is 12.

GCF(50400,50412) = 12

We will now calculate the prime factors of 50400 and 50412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50400 and 50412.

How to find the GCF of 50400 and 50412?

We will first find the prime factorization of 50400 and 50412. After we will calculate the factors of 50400 and 50412 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50412

Prime factors of 50412 are 2, 3, 4201. Prime factorization of 50412 in exponential form is:

50412 = 2² × 3¹ × 4201¹

Step-3: Factors of 50400

List of positive integer factors of 50400 that divides 50400 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

Step-4: Factors of 50412

List of positive integer factors of 50412 that divides 50400 without a remainder.

1, 2, 3, 4, 6, 12, 4201, 8402, 12603, 16804, 25206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50400 and 50412. The biggest common factor number is the GCF number.
So the greatest common factor 50400 and 50412 is 12.

Also check out the Least Common Multiple of 50400 and 50412