What is the Greatest Common Factor of 50390 and 50405?

Greatest common factor (GCF) of 50390 and 50405 is 5.

GCF(50390,50405) = 5

We will now calculate the prime factors of 50390 and 50405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50390 and 50405.

How to find the GCF of 50390 and 50405?

We will first find the prime factorization of 50390 and 50405. After we will calculate the factors of 50390 and 50405 and find the biggest common factor number .

Step-1: Prime Factorization of 50390

Prime factors of 50390 are 2, 5, 5039. Prime factorization of 50390 in exponential form is:

50390 = 2¹ × 5¹ × 5039¹

Step-2: Prime Factorization of 50405

Prime factors of 50405 are 5, 17, 593. Prime factorization of 50405 in exponential form is:

50405 = 5¹ × 17¹ × 593¹

Step-3: Factors of 50390

List of positive integer factors of 50390 that divides 50390 without a remainder.

1, 2, 5, 10, 5039, 10078, 25195

Step-4: Factors of 50405

List of positive integer factors of 50405 that divides 50390 without a remainder.

1, 5, 17, 85, 593, 2965, 10081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50390 and 50405. The biggest common factor number is the GCF number.
So the greatest common factor 50390 and 50405 is 5.

Also check out the Least Common Multiple of 50390 and 50405