What is the Greatest Common Factor of 28885 and 28896?

Greatest common factor (GCF) of 28885 and 28896 is 1.

GCF(28885,28896) = 1

We will now calculate the prime factors of 28885 and 28896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28885 and 28896.

How to find the GCF of 28885 and 28896?

We will first find the prime factorization of 28885 and 28896. After we will calculate the factors of 28885 and 28896 and find the biggest common factor number .

Step-1: Prime Factorization of 28885

Prime factors of 28885 are 5, 53, 109. Prime factorization of 28885 in exponential form is:

28885 = 5¹ × 53¹ × 109¹

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 28885

List of positive integer factors of 28885 that divides 28885 without a remainder.

1, 5, 53, 109, 265, 545, 5777

Step-4: Factors of 28896

List of positive integer factors of 28896 that divides 28885 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 28885 and 28896. The biggest common factor number is the GCF number.
So the greatest common factor 28885 and 28896 is 1.

Also check out the Least Common Multiple of 28885 and 28896