What is the Greatest Common Factor of 28544 and 28552?

Greatest common factor (GCF) of 28544 and 28552 is 8.

GCF(28544,28552) = 8

We will now calculate the prime factors of 28544 and 28552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28544 and 28552.

How to find the GCF of 28544 and 28552?

We will first find the prime factorization of 28544 and 28552. After we will calculate the factors of 28544 and 28552 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 28552

Prime factors of 28552 are 2, 43, 83. Prime factorization of 28552 in exponential form is:

28552 = 2³ × 43¹ × 83¹

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 28552

List of positive integer factors of 28552 that divides 28544 without a remainder.

1, 2, 4, 8, 43, 83, 86, 166, 172, 332, 344, 664, 3569, 7138, 14276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28544 and 28552. The biggest common factor number is the GCF number.
So the greatest common factor 28544 and 28552 is 8.

Also check out the Least Common Multiple of 28544 and 28552