What is the Greatest Common Factor of 50209 and 50213?

Greatest common factor (GCF) of 50209 and 50213 is 1.

GCF(50209,50213) = 1

We will now calculate the prime factors of 50209 and 50213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50209 and 50213.

How to find the GCF of 50209 and 50213?

We will first find the prime factorization of 50209 and 50213. After we will calculate the factors of 50209 and 50213 and find the biggest common factor number .

Step-1: Prime Factorization of 50209

Prime factors of 50209 are 23, 37, 59. Prime factorization of 50209 in exponential form is:

50209 = 23¹ × 37¹ × 59¹

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 50209

List of positive integer factors of 50209 that divides 50209 without a remainder.

1, 23, 37, 59, 851, 1357, 2183

Step-4: Factors of 50213

List of positive integer factors of 50213 that divides 50209 without a remainder.

1, 149, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50209 and 50213. The biggest common factor number is the GCF number.
So the greatest common factor 50209 and 50213 is 1.

Also check out the Least Common Multiple of 50209 and 50213