What is the Greatest Common Factor of 50365 and 50383?

Greatest common factor (GCF) of 50365 and 50383 is 1.

GCF(50365,50383) = 1

We will now calculate the prime factors of 50365 and 50383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50365 and 50383.

How to find the GCF of 50365 and 50383?

We will first find the prime factorization of 50365 and 50383. After we will calculate the factors of 50365 and 50383 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 50383

Prime factors of 50383 are 50383. Prime factorization of 50383 in exponential form is:

50383 = 50383¹

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 50383

List of positive integer factors of 50383 that divides 50365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50365 and 50383. The biggest common factor number is the GCF number.
So the greatest common factor 50365 and 50383 is 1.

Also check out the Least Common Multiple of 50365 and 50383