What is the Greatest Common Factor of 50365 and 50381?

Greatest common factor (GCF) of 50365 and 50381 is 1.

GCF(50365,50381) = 1

We will now calculate the prime factors of 50365 and 50381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50365 and 50381.

How to find the GCF of 50365 and 50381?

We will first find the prime factorization of 50365 and 50381. After we will calculate the factors of 50365 and 50381 and find the biggest common factor number .

Step-1: Prime Factorization of 50365

Prime factors of 50365 are 5, 7, 1439. Prime factorization of 50365 in exponential form is:

50365 = 5¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 50381

Prime factors of 50381 are 83, 607. Prime factorization of 50381 in exponential form is:

50381 = 83¹ × 607¹

Step-3: Factors of 50365

List of positive integer factors of 50365 that divides 50365 without a remainder.

1, 5, 7, 35, 1439, 7195, 10073

Step-4: Factors of 50381

List of positive integer factors of 50381 that divides 50365 without a remainder.

1, 83, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50365 and 50381. The biggest common factor number is the GCF number.
So the greatest common factor 50365 and 50381 is 1.

Also check out the Least Common Multiple of 50365 and 50381