What is the Greatest Common Factor of 50380 and 50385?

Greatest common factor (GCF) of 50380 and 50385 is 5.

GCF(50380,50385) = 5

We will now calculate the prime factors of 50380 and 50385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50380 and 50385.

How to find the GCF of 50380 and 50385?

We will first find the prime factorization of 50380 and 50385. After we will calculate the factors of 50380 and 50385 and find the biggest common factor number .

Step-1: Prime Factorization of 50380

Prime factors of 50380 are 2, 5, 11, 229. Prime factorization of 50380 in exponential form is:

50380 = 2² × 5¹ × 11¹ × 229¹

Step-2: 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-3: Factors of 50380

List of positive integer factors of 50380 that divides 50380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 229, 458, 916, 1145, 2290, 2519, 4580, 5038, 10076, 12595, 25190

Step-4: Factors of 50385

List of positive integer factors of 50385 that divides 50380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50380 and 50385. The biggest common factor number is the GCF number.
So the greatest common factor 50380 and 50385 is 5.

Also check out the Least Common Multiple of 50380 and 50385