What is the Greatest Common Factor of 28448 and 28453?

Greatest common factor (GCF) of 28448 and 28453 is 1.

GCF(28448,28453) = 1

We will now calculate the prime factors of 28448 and 28453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28448 and 28453.

How to find the GCF of 28448 and 28453?

We will first find the prime factorization of 28448 and 28453. After we will calculate the factors of 28448 and 28453 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 28453

Prime factors of 28453 are 37, 769. Prime factorization of 28453 in exponential form is:

28453 = 37¹ × 769¹

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 28453

List of positive integer factors of 28453 that divides 28448 without a remainder.

1, 37, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28448 and 28453. The biggest common factor number is the GCF number.
So the greatest common factor 28448 and 28453 is 1.

Also check out the Least Common Multiple of 28448 and 28453