What is the Greatest Common Factor of 28449 and 28459?

Greatest common factor (GCF) of 28449 and 28459 is 1.

GCF(28449,28459) = 1

We will now calculate the prime factors of 28449 and 28459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28449 and 28459.

How to find the GCF of 28449 and 28459?

We will first find the prime factorization of 28449 and 28459. After we will calculate the factors of 28449 and 28459 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 28459

Prime factors of 28459 are 149, 191. Prime factorization of 28459 in exponential form is:

28459 = 149¹ × 191¹

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 28459

List of positive integer factors of 28459 that divides 28449 without a remainder.

1, 149, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28449 and 28459. The biggest common factor number is the GCF number.
So the greatest common factor 28449 and 28459 is 1.

Also check out the Least Common Multiple of 28449 and 28459