What is the Greatest Common Factor of 28448 and 28466?

Greatest common factor (GCF) of 28448 and 28466 is 2.

GCF(28448,28466) = 2

We will now calculate the prime factors of 28448 and 28466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28448 and 28466.

How to find the GCF of 28448 and 28466?

We will first find the prime factorization of 28448 and 28466. After we will calculate the factors of 28448 and 28466 and find the biggest common factor number .

Step-1: Prime Factorization of 28448

Prime factors of 28448 are 2, 7, 127. Prime factorization of 28448 in exponential form is:

28448 = 2⁵ × 7¹ × 127¹

Step-2: Prime Factorization of 28466

Prime factors of 28466 are 2, 43, 331. Prime factorization of 28466 in exponential form is:

28466 = 2¹ × 43¹ × 331¹

Step-3: Factors of 28448

List of positive integer factors of 28448 that divides 28448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 127, 224, 254, 508, 889, 1016, 1778, 2032, 3556, 4064, 7112, 14224

Step-4: Factors of 28466

List of positive integer factors of 28466 that divides 28448 without a remainder.

1, 2, 43, 86, 331, 662, 14233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28448 and 28466. The biggest common factor number is the GCF number.
So the greatest common factor 28448 and 28466 is 2.

Also check out the Least Common Multiple of 28448 and 28466