What is the Greatest Common Factor of 50394 and 50414?

Greatest common factor (GCF) of 50394 and 50414 is 2.

GCF(50394,50414) = 2

We will now calculate the prime factors of 50394 and 50414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50394 and 50414.

How to find the GCF of 50394 and 50414?

We will first find the prime factorization of 50394 and 50414. After we will calculate the factors of 50394 and 50414 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 50414

Prime factors of 50414 are 2, 7, 13, 277. Prime factorization of 50414 in exponential form is:

50414 = 2¹ × 7¹ × 13¹ × 277¹

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 50414

List of positive integer factors of 50414 that divides 50394 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 277, 554, 1939, 3601, 3878, 7202, 25207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50394 and 50414. The biggest common factor number is the GCF number.
So the greatest common factor 50394 and 50414 is 2.

Also check out the Least Common Multiple of 50394 and 50414