What is the Greatest Common Factor of 99250 and 99258?

Greatest common factor (GCF) of 99250 and 99258 is 2.

GCF(99250,99258) = 2

We will now calculate the prime factors of 99250 and 99258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99250 and 99258.

How to find the GCF of 99250 and 99258?

We will first find the prime factorization of 99250 and 99258. After we will calculate the factors of 99250 and 99258 and find the biggest common factor number .

Step-1: Prime Factorization of 99250

Prime factors of 99250 are 2, 5, 397. Prime factorization of 99250 in exponential form is:

99250 = 2¹ × 5³ × 397¹

Step-2: Prime Factorization of 99258

Prime factors of 99258 are 2, 3, 71, 233. Prime factorization of 99258 in exponential form is:

99258 = 2¹ × 3¹ × 71¹ × 233¹

Step-3: Factors of 99250

List of positive integer factors of 99250 that divides 99250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 397, 794, 1985, 3970, 9925, 19850, 49625

Step-4: Factors of 99258

List of positive integer factors of 99258 that divides 99250 without a remainder.

1, 2, 3, 6, 71, 142, 213, 233, 426, 466, 699, 1398, 16543, 33086, 49629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99250 and 99258. The biggest common factor number is the GCF number.
So the greatest common factor 99250 and 99258 is 2.

Also check out the Least Common Multiple of 99250 and 99258