What is the Greatest Common Factor of 50386 and 50399?

Greatest common factor (GCF) of 50386 and 50399 is 1.

GCF(50386,50399) = 1

We will now calculate the prime factors of 50386 and 50399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50386 and 50399.

How to find the GCF of 50386 and 50399?

We will first find the prime factorization of 50386 and 50399. After we will calculate the factors of 50386 and 50399 and find the biggest common factor number .

Step-1: Prime Factorization of 50386

Prime factors of 50386 are 2, 7, 59, 61. Prime factorization of 50386 in exponential form is:

50386 = 2¹ × 7¹ × 59¹ × 61¹

Step-2: Prime Factorization of 50399

Prime factors of 50399 are 101, 499. Prime factorization of 50399 in exponential form is:

50399 = 101¹ × 499¹

Step-3: Factors of 50386

List of positive integer factors of 50386 that divides 50386 without a remainder.

1, 2, 7, 14, 59, 61, 118, 122, 413, 427, 826, 854, 3599, 7198, 25193

Step-4: Factors of 50399

List of positive integer factors of 50399 that divides 50386 without a remainder.

1, 101, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50386 and 50399. The biggest common factor number is the GCF number.
So the greatest common factor 50386 and 50399 is 1.

Also check out the Least Common Multiple of 50386 and 50399