What is the Greatest Common Factor of 50380 and 50398?

Greatest common factor (GCF) of 50380 and 50398 is 2.

GCF(50380,50398) = 2

We will now calculate the prime factors of 50380 and 50398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50380 and 50398.

How to find the GCF of 50380 and 50398?

We will first find the prime factorization of 50380 and 50398. After we will calculate the factors of 50380 and 50398 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 50398

Prime factors of 50398 are 2, 113, 223. Prime factorization of 50398 in exponential form is:

50398 = 2¹ × 113¹ × 223¹

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 50398

List of positive integer factors of 50398 that divides 50380 without a remainder.

1, 2, 113, 223, 226, 446, 25199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50380 and 50398. The biggest common factor number is the GCF number.
So the greatest common factor 50380 and 50398 is 2.

Also check out the Least Common Multiple of 50380 and 50398