What is the Greatest Common Factor of 50935 and 50940?

Greatest common factor (GCF) of 50935 and 50940 is 5.

GCF(50935,50940) = 5

We will now calculate the prime factors of 50935 and 50940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50935 and 50940.

How to find the GCF of 50935 and 50940?

We will first find the prime factorization of 50935 and 50940. After we will calculate the factors of 50935 and 50940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50940

Prime factors of 50940 are 2, 3, 5, 283. Prime factorization of 50940 in exponential form is:

50940 = 2² × 3² × 5¹ × 283¹

Step-3: Factors of 50935

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

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

Step-4: Factors of 50940

List of positive integer factors of 50940 that divides 50935 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 283, 566, 849, 1132, 1415, 1698, 2547, 2830, 3396, 4245, 5094, 5660, 8490, 10188, 12735, 16980, 25470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50935 and 50940. The biggest common factor number is the GCF number.
So the greatest common factor 50935 and 50940 is 5.

Also check out the Least Common Multiple of 50935 and 50940