What is the Greatest Common Factor of 50198 and 50213?

Greatest common factor (GCF) of 50198 and 50213 is 1.

GCF(50198,50213) = 1

We will now calculate the prime factors of 50198 and 50213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50198 and 50213.

How to find the GCF of 50198 and 50213?

We will first find the prime factorization of 50198 and 50213. After we will calculate the factors of 50198 and 50213 and find the biggest common factor number .

Step-1: Prime Factorization of 50198

Prime factors of 50198 are 2, 19, 1321. Prime factorization of 50198 in exponential form is:

50198 = 2¹ × 19¹ × 1321¹

Step-2: Prime Factorization of 50213

Prime factors of 50213 are 149, 337. Prime factorization of 50213 in exponential form is:

50213 = 149¹ × 337¹

Step-3: Factors of 50198

List of positive integer factors of 50198 that divides 50198 without a remainder.

1, 2, 19, 38, 1321, 2642, 25099

Step-4: Factors of 50213

List of positive integer factors of 50213 that divides 50198 without a remainder.

1, 149, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50198 and 50213. The biggest common factor number is the GCF number.
So the greatest common factor 50198 and 50213 is 1.

Also check out the Least Common Multiple of 50198 and 50213