What is the Greatest Common Factor of 28896 and 28909?

Greatest common factor (GCF) of 28896 and 28909 is 1.

GCF(28896,28909) = 1

We will now calculate the prime factors of 28896 and 28909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28896 and 28909.

How to find the GCF of 28896 and 28909?

We will first find the prime factorization of 28896 and 28909. After we will calculate the factors of 28896 and 28909 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 28909

Prime factors of 28909 are 28909. Prime factorization of 28909 in exponential form is:

28909 = 28909¹

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 28909

List of positive integer factors of 28909 that divides 28896 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28896 and 28909. The biggest common factor number is the GCF number.
So the greatest common factor 28896 and 28909 is 1.

Also check out the Least Common Multiple of 28896 and 28909