What is the Greatest Common Factor of 28544 and 28559?

Greatest common factor (GCF) of 28544 and 28559 is 1.

GCF(28544,28559) = 1

We will now calculate the prime factors of 28544 and 28559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28544 and 28559.

How to find the GCF of 28544 and 28559?

We will first find the prime factorization of 28544 and 28559. After we will calculate the factors of 28544 and 28559 and find the biggest common factor number .

Step-1: Prime Factorization of 28544

Prime factors of 28544 are 2, 223. Prime factorization of 28544 in exponential form is:

28544 = 2⁷ × 223¹

Step-2: Prime Factorization of 28559

Prime factors of 28559 are 28559. Prime factorization of 28559 in exponential form is:

28559 = 28559¹

Step-3: Factors of 28544

List of positive integer factors of 28544 that divides 28544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 223, 446, 892, 1784, 3568, 7136, 14272

Step-4: Factors of 28559

List of positive integer factors of 28559 that divides 28544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28544 and 28559. The biggest common factor number is the GCF number.
So the greatest common factor 28544 and 28559 is 1.

Also check out the Least Common Multiple of 28544 and 28559