What is the Greatest Common Factor of 99288 and 99306?

Greatest common factor (GCF) of 99288 and 99306 is 18.

GCF(99288,99306) = 18

We will now calculate the prime factors of 99288 and 99306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99288 and 99306.

How to find the GCF of 99288 and 99306?

We will first find the prime factorization of 99288 and 99306. After we will calculate the factors of 99288 and 99306 and find the biggest common factor number .

Step-1: Prime Factorization of 99288

Prime factors of 99288 are 2, 3, 7, 197. Prime factorization of 99288 in exponential form is:

99288 = 2³ × 3² × 7¹ × 197¹

Step-2: Prime Factorization of 99306

Prime factors of 99306 are 2, 3, 613. Prime factorization of 99306 in exponential form is:

99306 = 2¹ × 3⁴ × 613¹

Step-3: Factors of 99288

List of positive integer factors of 99288 that divides 99288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 197, 252, 394, 504, 591, 788, 1182, 1379, 1576, 1773, 2364, 2758, 3546, 4137, 4728, 5516, 7092, 8274, 11032, 12411, 14184, 16548, 24822, 33096, 49644

Step-4: Factors of 99306

List of positive integer factors of 99306 that divides 99288 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 613, 1226, 1839, 3678, 5517, 11034, 16551, 33102, 49653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99288 and 99306. The biggest common factor number is the GCF number.
So the greatest common factor 99288 and 99306 is 18.

Also check out the Least Common Multiple of 99288 and 99306