What is the Greatest Common Factor of 99268 and 99281?

Greatest common factor (GCF) of 99268 and 99281 is 13.

GCF(99268,99281) = 13

We will now calculate the prime factors of 99268 and 99281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99268 and 99281.

How to find the GCF of 99268 and 99281?

We will first find the prime factorization of 99268 and 99281. After we will calculate the factors of 99268 and 99281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99281

Prime factors of 99281 are 7, 13, 1091. Prime factorization of 99281 in exponential form is:

99281 = 7¹ × 13¹ × 1091¹

Step-3: Factors of 99268

List of positive integer factors of 99268 that divides 99268 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

Step-4: Factors of 99281

List of positive integer factors of 99281 that divides 99268 without a remainder.

1, 7, 13, 91, 1091, 7637, 14183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99268 and 99281. The biggest common factor number is the GCF number.
So the greatest common factor 99268 and 99281 is 13.

Also check out the Least Common Multiple of 99268 and 99281