What is the Greatest Common Factor of 16494 and 16499?

Greatest common factor (GCF) of 16494 and 16499 is 1.

GCF(16494,16499) = 1

We will now calculate the prime factors of 16494 and 16499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16494 and 16499.

How to find the GCF of 16494 and 16499?

We will first find the prime factorization of 16494 and 16499. After we will calculate the factors of 16494 and 16499 and find the biggest common factor number .

Step-1: Prime Factorization of 16494

Prime factors of 16494 are 2, 3, 2749. Prime factorization of 16494 in exponential form is:

16494 = 2¹ × 3¹ × 2749¹

Step-2: Prime Factorization of 16499

Prime factors of 16499 are 7, 2357. Prime factorization of 16499 in exponential form is:

16499 = 7¹ × 2357¹

Step-3: Factors of 16494

List of positive integer factors of 16494 that divides 16494 without a remainder.

1, 2, 3, 6, 2749, 5498, 8247

Step-4: Factors of 16499

List of positive integer factors of 16499 that divides 16494 without a remainder.

1, 7, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16494 and 16499. The biggest common factor number is the GCF number.
So the greatest common factor 16494 and 16499 is 1.

Also check out the Least Common Multiple of 16494 and 16499