What is the Greatest Common Factor of 50916 and 50935?

Greatest common factor (GCF) of 50916 and 50935 is 1.

GCF(50916,50935) = 1

We will now calculate the prime factors of 50916 and 50935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50916 and 50935.

How to find the GCF of 50916 and 50935?

We will first find the prime factorization of 50916 and 50935. After we will calculate the factors of 50916 and 50935 and find the biggest common factor number .

Step-1: Prime Factorization of 50916

Prime factors of 50916 are 2, 3, 4243. Prime factorization of 50916 in exponential form is:

50916 = 2² × 3¹ × 4243¹

Step-2: Prime Factorization of 50935

Prime factors of 50935 are 5, 61, 167. Prime factorization of 50935 in exponential form is:

50935 = 5¹ × 61¹ × 167¹

Step-3: Factors of 50916

List of positive integer factors of 50916 that divides 50916 without a remainder.

1, 2, 3, 4, 6, 12, 4243, 8486, 12729, 16972, 25458

Step-4: Factors of 50935

List of positive integer factors of 50935 that divides 50916 without a remainder.

1, 5, 61, 167, 305, 835, 10187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50916 and 50935. The biggest common factor number is the GCF number.
So the greatest common factor 50916 and 50935 is 1.

Also check out the Least Common Multiple of 50916 and 50935