What is the Greatest Common Factor of 16430 and 16449?

Greatest common factor (GCF) of 16430 and 16449 is 1.

GCF(16430,16449) = 1

We will now calculate the prime factors of 16430 and 16449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16430 and 16449.

How to find the GCF of 16430 and 16449?

We will first find the prime factorization of 16430 and 16449. After we will calculate the factors of 16430 and 16449 and find the biggest common factor number .

Step-1: Prime Factorization of 16430

Prime factors of 16430 are 2, 5, 31, 53. Prime factorization of 16430 in exponential form is:

16430 = 2¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 16449

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

16449 = 3¹ × 5483¹

Step-3: Factors of 16430

List of positive integer factors of 16430 that divides 16430 without a remainder.

1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215

Step-4: Factors of 16449

List of positive integer factors of 16449 that divides 16430 without a remainder.

1, 3, 5483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16430 and 16449. The biggest common factor number is the GCF number.
So the greatest common factor 16430 and 16449 is 1.

Also check out the Least Common Multiple of 16430 and 16449