What is the Greatest Common Factor of 50385 and 50401?

Greatest common factor (GCF) of 50385 and 50401 is 1.

GCF(50385,50401) = 1

We will now calculate the prime factors of 50385 and 50401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50385 and 50401.

How to find the GCF of 50385 and 50401?

We will first find the prime factorization of 50385 and 50401. After we will calculate the factors of 50385 and 50401 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 50401

Prime factors of 50401 are 13, 3877. Prime factorization of 50401 in exponential form is:

50401 = 13¹ × 3877¹

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 50401

List of positive integer factors of 50401 that divides 50385 without a remainder.

1, 13, 3877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50385 and 50401. The biggest common factor number is the GCF number.
So the greatest common factor 50385 and 50401 is 1.

Also check out the Least Common Multiple of 50385 and 50401