What is the Greatest Common Factor of 50416 and 50426?

Greatest common factor (GCF) of 50416 and 50426 is 2.

GCF(50416,50426) = 2

We will now calculate the prime factors of 50416 and 50426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50416 and 50426.

How to find the GCF of 50416 and 50426?

We will first find the prime factorization of 50416 and 50426. After we will calculate the factors of 50416 and 50426 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 50426

Prime factors of 50426 are 2, 19, 1327. Prime factorization of 50426 in exponential form is:

50426 = 2¹ × 19¹ × 1327¹

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 50426

List of positive integer factors of 50426 that divides 50416 without a remainder.

1, 2, 19, 38, 1327, 2654, 25213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50416 and 50426. The biggest common factor number is the GCF number.
So the greatest common factor 50416 and 50426 is 2.

Also check out the Least Common Multiple of 50416 and 50426