What is the Greatest Common Factor of 50245 and 50258?

Greatest common factor (GCF) of 50245 and 50258 is 13.

GCF(50245,50258) = 13

We will now calculate the prime factors of 50245 and 50258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50245 and 50258.

How to find the GCF of 50245 and 50258?

We will first find the prime factorization of 50245 and 50258. After we will calculate the factors of 50245 and 50258 and find the biggest common factor number .

Step-1: Prime Factorization of 50245

Prime factors of 50245 are 5, 13, 773. Prime factorization of 50245 in exponential form is:

50245 = 5¹ × 13¹ × 773¹

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 50245

List of positive integer factors of 50245 that divides 50245 without a remainder.

1, 5, 13, 65, 773, 3865, 10049

Step-4: Factors of 50258

List of positive integer factors of 50258 that divides 50245 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50245 and 50258. The biggest common factor number is the GCF number.
So the greatest common factor 50245 and 50258 is 13.

Also check out the Least Common Multiple of 50245 and 50258