What is the Greatest Common Factor of 50416 and 50432?

Greatest common factor (GCF) of 50416 and 50432 is 16.

GCF(50416,50432) = 16

We will now calculate the prime factors of 50416 and 50432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50416 and 50432.

How to find the GCF of 50416 and 50432?

We will first find the prime factorization of 50416 and 50432. After we will calculate the factors of 50416 and 50432 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50432

Prime factors of 50432 are 2, 197. Prime factorization of 50432 in exponential form is:

50432 = 2⁸ × 197¹

Step-3: Factors of 50416

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

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

Step-4: Factors of 50432

List of positive integer factors of 50432 that divides 50416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 197, 256, 394, 788, 1576, 3152, 6304, 12608, 25216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50416 and 50432. The biggest common factor number is the GCF number.
So the greatest common factor 50416 and 50432 is 16.

Also check out the Least Common Multiple of 50416 and 50432