What is the Greatest Common Factor of 99072 and 99084?

Greatest common factor (GCF) of 99072 and 99084 is 12.

GCF(99072,99084) = 12

We will now calculate the prime factors of 99072 and 99084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99072 and 99084.

How to find the GCF of 99072 and 99084?

We will first find the prime factorization of 99072 and 99084. After we will calculate the factors of 99072 and 99084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99084

Prime factors of 99084 are 2, 3, 23, 359. Prime factorization of 99084 in exponential form is:

99084 = 2² × 3¹ × 23¹ × 359¹

Step-3: Factors of 99072

List of positive integer factors of 99072 that divides 99072 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

Step-4: Factors of 99084

List of positive integer factors of 99084 that divides 99072 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 359, 718, 1077, 1436, 2154, 4308, 8257, 16514, 24771, 33028, 49542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99072 and 99084. The biggest common factor number is the GCF number.
So the greatest common factor 99072 and 99084 is 12.

Also check out the Least Common Multiple of 99072 and 99084