What is the Greatest Common Factor of 50250 and 50258?

Greatest common factor (GCF) of 50250 and 50258 is 2.

GCF(50250,50258) = 2

We will now calculate the prime factors of 50250 and 50258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50250 and 50258.

How to find the GCF of 50250 and 50258?

We will first find the prime factorization of 50250 and 50258. After we will calculate the factors of 50250 and 50258 and find the biggest common factor number .

Step-1: Prime Factorization of 50250

Prime factors of 50250 are 2, 3, 5, 67. Prime factorization of 50250 in exponential form is:

50250 = 2¹ × 3¹ × 5³ × 67¹

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 50250

List of positive integer factors of 50250 that divides 50250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201, 250, 335, 375, 402, 670, 750, 1005, 1675, 2010, 3350, 5025, 8375, 10050, 16750, 25125

Step-4: Factors of 50258

List of positive integer factors of 50258 that divides 50250 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50250 and 50258. The biggest common factor number is the GCF number.
So the greatest common factor 50250 and 50258 is 2.

Also check out the Least Common Multiple of 50250 and 50258