What is the Greatest Common Factor of 99255 and 99268?

Greatest common factor (GCF) of 99255 and 99268 is 13.

GCF(99255,99268) = 13

We will now calculate the prime factors of 99255 and 99268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99255 and 99268.

How to find the GCF of 99255 and 99268?

We will first find the prime factorization of 99255 and 99268. After we will calculate the factors of 99255 and 99268 and find the biggest common factor number .

Step-1: Prime Factorization of 99255

Prime factors of 99255 are 3, 5, 13, 509. Prime factorization of 99255 in exponential form is:

99255 = 3¹ × 5¹ × 13¹ × 509¹

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 99255

List of positive integer factors of 99255 that divides 99255 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 509, 1527, 2545, 6617, 7635, 19851, 33085

Step-4: Factors of 99268

List of positive integer factors of 99268 that divides 99255 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 99255 and 99268. The biggest common factor number is the GCF number.
So the greatest common factor 99255 and 99268 is 13.

Also check out the Least Common Multiple of 99255 and 99268