What is the Greatest Common Factor of 50374 and 50389?

Greatest common factor (GCF) of 50374 and 50389 is 1.

GCF(50374,50389) = 1

We will now calculate the prime factors of 50374 and 50389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50374 and 50389.

How to find the GCF of 50374 and 50389?

We will first find the prime factorization of 50374 and 50389. After we will calculate the factors of 50374 and 50389 and find the biggest common factor number .

Step-1: Prime Factorization of 50374

Prime factors of 50374 are 2, 89, 283. Prime factorization of 50374 in exponential form is:

50374 = 2¹ × 89¹ × 283¹

Step-2: Prime Factorization of 50389

Prime factors of 50389 are 41, 1229. Prime factorization of 50389 in exponential form is:

50389 = 41¹ × 1229¹

Step-3: Factors of 50374

List of positive integer factors of 50374 that divides 50374 without a remainder.

1, 2, 89, 178, 283, 566, 25187

Step-4: Factors of 50389

List of positive integer factors of 50389 that divides 50374 without a remainder.

1, 41, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50374 and 50389. The biggest common factor number is the GCF number.
So the greatest common factor 50374 and 50389 is 1.

Also check out the Least Common Multiple of 50374 and 50389