What is the Greatest Common Factor of 50398 and 50416?

Greatest common factor (GCF) of 50398 and 50416 is 2.

GCF(50398,50416) = 2

We will now calculate the prime factors of 50398 and 50416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50398 and 50416.

How to find the GCF of 50398 and 50416?

We will first find the prime factorization of 50398 and 50416. After we will calculate the factors of 50398 and 50416 and find the biggest common factor number .

Step-1: Prime Factorization of 50398

Prime factors of 50398 are 2, 113, 223. Prime factorization of 50398 in exponential form is:

50398 = 2¹ × 113¹ × 223¹

Step-2: Prime Factorization of 50416

Prime factors of 50416 are 2, 23, 137. Prime factorization of 50416 in exponential form is:

50416 = 2⁴ × 23¹ × 137¹

Step-3: Factors of 50398

List of positive integer factors of 50398 that divides 50398 without a remainder.

1, 2, 113, 223, 226, 446, 25199

Step-4: Factors of 50416

List of positive integer factors of 50416 that divides 50398 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 137, 184, 274, 368, 548, 1096, 2192, 3151, 6302, 12604, 25208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50398 and 50416. The biggest common factor number is the GCF number.
So the greatest common factor 50398 and 50416 is 2.

Also check out the Least Common Multiple of 50398 and 50416