What is the Greatest Common Factor of 28544 and 28558?

Greatest common factor (GCF) of 28544 and 28558 is 2.

GCF(28544,28558) = 2

We will now calculate the prime factors of 28544 and 28558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28544 and 28558.

How to find the GCF of 28544 and 28558?

We will first find the prime factorization of 28544 and 28558. After we will calculate the factors of 28544 and 28558 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 28558

Prime factors of 28558 are 2, 109, 131. Prime factorization of 28558 in exponential form is:

28558 = 2¹ × 109¹ × 131¹

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 28558

List of positive integer factors of 28558 that divides 28544 without a remainder.

1, 2, 109, 131, 218, 262, 14279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28544 and 28558. The biggest common factor number is the GCF number.
So the greatest common factor 28544 and 28558 is 2.

Also check out the Least Common Multiple of 28544 and 28558