What is the Greatest Common Factor of 28884 and 28896?

Greatest common factor (GCF) of 28884 and 28896 is 12.

GCF(28884,28896) = 12

We will now calculate the prime factors of 28884 and 28896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28884 and 28896.

How to find the GCF of 28884 and 28896?

We will first find the prime factorization of 28884 and 28896. After we will calculate the factors of 28884 and 28896 and find the biggest common factor number .

Step-1: Prime Factorization of 28884

Prime factors of 28884 are 2, 3, 29, 83. Prime factorization of 28884 in exponential form is:

28884 = 2² × 3¹ × 29¹ × 83¹

Step-2: Prime Factorization of 28896

Prime factors of 28896 are 2, 3, 7, 43. Prime factorization of 28896 in exponential form is:

28896 = 2⁵ × 3¹ × 7¹ × 43¹

Step-3: Factors of 28884

List of positive integer factors of 28884 that divides 28884 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 83, 87, 116, 166, 174, 249, 332, 348, 498, 996, 2407, 4814, 7221, 9628, 14442

Step-4: Factors of 28896

List of positive integer factors of 28896 that divides 28884 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 43, 48, 56, 84, 86, 96, 112, 129, 168, 172, 224, 258, 301, 336, 344, 516, 602, 672, 688, 903, 1032, 1204, 1376, 1806, 2064, 2408, 3612, 4128, 4816, 7224, 9632, 14448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28884 and 28896. The biggest common factor number is the GCF number.
So the greatest common factor 28884 and 28896 is 12.

Also check out the Least Common Multiple of 28884 and 28896