What is the Greatest Common Factor of 99072 and 99088?

Greatest common factor (GCF) of 99072 and 99088 is 16.

GCF(99072,99088) = 16

We will now calculate the prime factors of 99072 and 99088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99072 and 99088.

How to find the GCF of 99072 and 99088?

We will first find the prime factorization of 99072 and 99088. After we will calculate the factors of 99072 and 99088 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 99088

Prime factors of 99088 are 2, 11, 563. Prime factorization of 99088 in exponential form is:

99088 = 2⁴ × 11¹ × 563¹

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 99088

List of positive integer factors of 99088 that divides 99072 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 563, 1126, 2252, 4504, 6193, 9008, 12386, 24772, 49544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99072 and 99088. The biggest common factor number is the GCF number.
So the greatest common factor 99072 and 99088 is 16.

Also check out the Least Common Multiple of 99072 and 99088