What is the Greatest Common Factor of 50326 and 50344?

Greatest common factor (GCF) of 50326 and 50344 is 2.

GCF(50326,50344) = 2

We will now calculate the prime factors of 50326 and 50344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50326 and 50344.

How to find the GCF of 50326 and 50344?

We will first find the prime factorization of 50326 and 50344. After we will calculate the factors of 50326 and 50344 and find the biggest common factor number .

Step-1: Prime Factorization of 50326

Prime factors of 50326 are 2, 25163. Prime factorization of 50326 in exponential form is:

50326 = 2¹ × 25163¹

Step-2: Prime Factorization of 50344

Prime factors of 50344 are 2, 7, 29, 31. Prime factorization of 50344 in exponential form is:

50344 = 2³ × 7¹ × 29¹ × 31¹

Step-3: Factors of 50326

List of positive integer factors of 50326 that divides 50326 without a remainder.

1, 2, 25163

Step-4: Factors of 50344

List of positive integer factors of 50344 that divides 50326 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 31, 56, 58, 62, 116, 124, 203, 217, 232, 248, 406, 434, 812, 868, 899, 1624, 1736, 1798, 3596, 6293, 7192, 12586, 25172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50326 and 50344. The biggest common factor number is the GCF number.
So the greatest common factor 50326 and 50344 is 2.

Also check out the Least Common Multiple of 50326 and 50344