What is the Greatest Common Factor of 28896 and 28908?

Greatest common factor (GCF) of 28896 and 28908 is 12.

GCF(28896,28908) = 12

We will now calculate the prime factors of 28896 and 28908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28896 and 28908.

How to find the GCF of 28896 and 28908?

We will first find the prime factorization of 28896 and 28908. After we will calculate the factors of 28896 and 28908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28908

Prime factors of 28908 are 2, 3, 11, 73. Prime factorization of 28908 in exponential form is:

28908 = 2² × 3² × 11¹ × 73¹

Step-3: Factors of 28896

List of positive integer factors of 28896 that divides 28896 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

Step-4: Factors of 28908

List of positive integer factors of 28908 that divides 28896 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 73, 99, 132, 146, 198, 219, 292, 396, 438, 657, 803, 876, 1314, 1606, 2409, 2628, 3212, 4818, 7227, 9636, 14454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28896 and 28908. The biggest common factor number is the GCF number.
So the greatest common factor 28896 and 28908 is 12.

Also check out the Least Common Multiple of 28896 and 28908