What is the Greatest Common Factor of 50249 and 50258?

Greatest common factor (GCF) of 50249 and 50258 is 1.

GCF(50249,50258) = 1

We will now calculate the prime factors of 50249 and 50258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50249 and 50258.

How to find the GCF of 50249 and 50258?

We will first find the prime factorization of 50249 and 50258. After we will calculate the factors of 50249 and 50258 and find the biggest common factor number .

Step-1: Prime Factorization of 50249

Prime factors of 50249 are 109, 461. Prime factorization of 50249 in exponential form is:

50249 = 109¹ × 461¹

Step-2: Prime Factorization of 50258

Prime factors of 50258 are 2, 13, 1933. Prime factorization of 50258 in exponential form is:

50258 = 2¹ × 13¹ × 1933¹

Step-3: Factors of 50249

List of positive integer factors of 50249 that divides 50249 without a remainder.

1, 109, 461

Step-4: Factors of 50258

List of positive integer factors of 50258 that divides 50249 without a remainder.

1, 2, 13, 26, 1933, 3866, 25129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50249 and 50258. The biggest common factor number is the GCF number.
So the greatest common factor 50249 and 50258 is 1.

Also check out the Least Common Multiple of 50249 and 50258