What is the Greatest Common Factor of 99258 and 99268?

Greatest common factor (GCF) of 99258 and 99268 is 2.

GCF(99258,99268) = 2

We will now calculate the prime factors of 99258 and 99268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99258 and 99268.

How to find the GCF of 99258 and 99268?

We will first find the prime factorization of 99258 and 99268. After we will calculate the factors of 99258 and 99268 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99268

Prime factors of 99268 are 2, 13, 23, 83. Prime factorization of 99268 in exponential form is:

99268 = 2² × 13¹ × 23¹ × 83¹

Step-3: Factors of 99258

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

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

Step-4: Factors of 99268

List of positive integer factors of 99268 that divides 99258 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 83, 92, 166, 299, 332, 598, 1079, 1196, 1909, 2158, 3818, 4316, 7636, 24817, 49634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99258 and 99268. The biggest common factor number is the GCF number.
So the greatest common factor 99258 and 99268 is 2.

Also check out the Least Common Multiple of 99258 and 99268