What is the Greatest Common Factor of 99054 and 99072?

Greatest common factor (GCF) of 99054 and 99072 is 18.

GCF(99054,99072) = 18

We will now calculate the prime factors of 99054 and 99072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99054 and 99072.

How to find the GCF of 99054 and 99072?

We will first find the prime factorization of 99054 and 99072. After we will calculate the factors of 99054 and 99072 and find the biggest common factor number .

Step-1: Prime Factorization of 99054

Prime factors of 99054 are 2, 3, 5503. Prime factorization of 99054 in exponential form is:

99054 = 2¹ × 3² × 5503¹

Step-2: Prime Factorization of 99072

Prime factors of 99072 are 2, 3, 43. Prime factorization of 99072 in exponential form is:

99072 = 2⁸ × 3² × 43¹

Step-3: Factors of 99054

List of positive integer factors of 99054 that divides 99054 without a remainder.

1, 2, 3, 6, 9, 18, 5503, 11006, 16509, 33018, 49527

Step-4: Factors of 99072

List of positive integer factors of 99072 that divides 99054 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64, 72, 86, 96, 128, 129, 144, 172, 192, 256, 258, 288, 344, 384, 387, 516, 576, 688, 768, 774, 1032, 1152, 1376, 1548, 2064, 2304, 2752, 3096, 4128, 5504, 6192, 8256, 11008, 12384, 16512, 24768, 33024, 49536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99054 and 99072. The biggest common factor number is the GCF number.
So the greatest common factor 99054 and 99072 is 18.

Also check out the Least Common Multiple of 99054 and 99072