What is the Greatest Common Factor of 99268 and 99276?

Greatest common factor (GCF) of 99268 and 99276 is 4.

GCF(99268,99276) = 4

We will now calculate the prime factors of 99268 and 99276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99268 and 99276.

How to find the GCF of 99268 and 99276?

We will first find the prime factorization of 99268 and 99276. After we will calculate the factors of 99268 and 99276 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 99276

Prime factors of 99276 are 2, 3, 8273. Prime factorization of 99276 in exponential form is:

99276 = 2² × 3¹ × 8273¹

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 99276

List of positive integer factors of 99276 that divides 99268 without a remainder.

1, 2, 3, 4, 6, 12, 8273, 16546, 24819, 33092, 49638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99268 and 99276. The biggest common factor number is the GCF number.
So the greatest common factor 99268 and 99276 is 4.

Also check out the Least Common Multiple of 99268 and 99276