What is the Greatest Common Factor of 16449 and 16467?

Greatest common factor (GCF) of 16449 and 16467 is 3.

GCF(16449,16467) = 3

We will now calculate the prime factors of 16449 and 16467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16449 and 16467.

How to find the GCF of 16449 and 16467?

We will first find the prime factorization of 16449 and 16467. After we will calculate the factors of 16449 and 16467 and find the biggest common factor number .

Step-1: Prime Factorization of 16449

Prime factors of 16449 are 3, 5483. Prime factorization of 16449 in exponential form is:

16449 = 3¹ × 5483¹

Step-2: Prime Factorization of 16467

Prime factors of 16467 are 3, 11, 499. Prime factorization of 16467 in exponential form is:

16467 = 3¹ × 11¹ × 499¹

Step-3: Factors of 16449

List of positive integer factors of 16449 that divides 16449 without a remainder.

1, 3, 5483

Step-4: Factors of 16467

List of positive integer factors of 16467 that divides 16449 without a remainder.

1, 3, 11, 33, 499, 1497, 5489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16449 and 16467. The biggest common factor number is the GCF number.
So the greatest common factor 16449 and 16467 is 3.

Also check out the Least Common Multiple of 16449 and 16467