What is the Greatest Common Factor of 50394 and 50412?

Greatest common factor (GCF) of 50394 and 50412 is 6.

GCF(50394,50412) = 6

We will now calculate the prime factors of 50394 and 50412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50394 and 50412.

How to find the GCF of 50394 and 50412?

We will first find the prime factorization of 50394 and 50412. After we will calculate the factors of 50394 and 50412 and find the biggest common factor number .

Step-1: Prime Factorization of 50394

Prime factors of 50394 are 2, 3, 37, 227. Prime factorization of 50394 in exponential form is:

50394 = 2¹ × 3¹ × 37¹ × 227¹

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 50394

List of positive integer factors of 50394 that divides 50394 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 227, 454, 681, 1362, 8399, 16798, 25197

Step-4: Factors of 50412

List of positive integer factors of 50412 that divides 50394 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 50394 and 50412. The biggest common factor number is the GCF number.
So the greatest common factor 50394 and 50412 is 6.

Also check out the Least Common Multiple of 50394 and 50412