What is the Greatest Common Factor of 28449 and 28453?

Greatest common factor (GCF) of 28449 and 28453 is 1.

GCF(28449,28453) = 1

We will now calculate the prime factors of 28449 and 28453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28449 and 28453.

How to find the GCF of 28449 and 28453?

We will first find the prime factorization of 28449 and 28453. After we will calculate the factors of 28449 and 28453 and find the biggest common factor number .

Step-1: Prime Factorization of 28449

Prime factors of 28449 are 3, 29, 109. Prime factorization of 28449 in exponential form is:

28449 = 3² × 29¹ × 109¹

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 28449

List of positive integer factors of 28449 that divides 28449 without a remainder.

1, 3, 9, 29, 87, 109, 261, 327, 981, 3161, 9483

Step-4: Factors of 28453

List of positive integer factors of 28453 that divides 28449 without a remainder.

1, 37, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28449 and 28453. The biggest common factor number is the GCF number.
So the greatest common factor 28449 and 28453 is 1.

Also check out the Least Common Multiple of 28449 and 28453