What is the Greatest Common Factor of 50380 and 50384?

Greatest common factor (GCF) of 50380 and 50384 is 4.

GCF(50380,50384) = 4

We will now calculate the prime factors of 50380 and 50384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50380 and 50384.

How to find the GCF of 50380 and 50384?

We will first find the prime factorization of 50380 and 50384. After we will calculate the factors of 50380 and 50384 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 50384

Prime factors of 50384 are 2, 47, 67. Prime factorization of 50384 in exponential form is:

50384 = 2⁴ × 47¹ × 67¹

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 50384

List of positive integer factors of 50384 that divides 50380 without a remainder.

1, 2, 4, 8, 16, 47, 67, 94, 134, 188, 268, 376, 536, 752, 1072, 3149, 6298, 12596, 25192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50380 and 50384. The biggest common factor number is the GCF number.
So the greatest common factor 50380 and 50384 is 4.

Also check out the Least Common Multiple of 50380 and 50384