What is the Greatest Common Factor of 99072 and 99076?

Greatest common factor (GCF) of 99072 and 99076 is 4.

GCF(99072,99076) = 4

We will now calculate the prime factors of 99072 and 99076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99072 and 99076.

How to find the GCF of 99072 and 99076?

We will first find the prime factorization of 99072 and 99076. After we will calculate the factors of 99072 and 99076 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 99076

Prime factors of 99076 are 2, 17, 31, 47. Prime factorization of 99076 in exponential form is:

99076 = 2² × 17¹ × 31¹ × 47¹

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 99076

List of positive integer factors of 99076 that divides 99072 without a remainder.

1, 2, 4, 17, 31, 34, 47, 62, 68, 94, 124, 188, 527, 799, 1054, 1457, 1598, 2108, 2914, 3196, 5828, 24769, 49538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99072 and 99076. The biggest common factor number is the GCF number.
So the greatest common factor 99072 and 99076 is 4.

Also check out the Least Common Multiple of 99072 and 99076