What is the Greatest Common Factor of 50385 and 50405?

Greatest common factor (GCF) of 50385 and 50405 is 5.

GCF(50385,50405) = 5

We will now calculate the prime factors of 50385 and 50405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50385 and 50405.

How to find the GCF of 50385 and 50405?

We will first find the prime factorization of 50385 and 50405. After we will calculate the factors of 50385 and 50405 and find the biggest common factor number .

Step-1: Prime Factorization of 50385

Prime factors of 50385 are 3, 5, 3359. Prime factorization of 50385 in exponential form is:

50385 = 3¹ × 5¹ × 3359¹

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 50385

List of positive integer factors of 50385 that divides 50385 without a remainder.

1, 3, 5, 15, 3359, 10077, 16795

Step-4: Factors of 50405

List of positive integer factors of 50405 that divides 50385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50385 and 50405. The biggest common factor number is the GCF number.
So the greatest common factor 50385 and 50405 is 5.

Also check out the Least Common Multiple of 50385 and 50405