What is the Greatest Common Factor of 50416 and 50431?

Greatest common factor (GCF) of 50416 and 50431 is 1.

GCF(50416,50431) = 1

We will now calculate the prime factors of 50416 and 50431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50416 and 50431.

How to find the GCF of 50416 and 50431?

We will first find the prime factorization of 50416 and 50431. After we will calculate the factors of 50416 and 50431 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 50431

Prime factors of 50431 are 29, 37, 47. Prime factorization of 50431 in exponential form is:

50431 = 29¹ × 37¹ × 47¹

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 50431

List of positive integer factors of 50431 that divides 50416 without a remainder.

1, 29, 37, 47, 1073, 1363, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50416 and 50431. The biggest common factor number is the GCF number.
So the greatest common factor 50416 and 50431 is 1.

Also check out the Least Common Multiple of 50416 and 50431