What is the Greatest Common Factor of 16494 and 16503?

Greatest common factor (GCF) of 16494 and 16503 is 3.

GCF(16494,16503) = 3

We will now calculate the prime factors of 16494 and 16503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16494 and 16503.

How to find the GCF of 16494 and 16503?

We will first find the prime factorization of 16494 and 16503. After we will calculate the factors of 16494 and 16503 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 16503

Prime factors of 16503 are 3, 5501. Prime factorization of 16503 in exponential form is:

16503 = 3¹ × 5501¹

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 16503

List of positive integer factors of 16503 that divides 16494 without a remainder.

1, 3, 5501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16494 and 16503. The biggest common factor number is the GCF number.
So the greatest common factor 16494 and 16503 is 3.

Also check out the Least Common Multiple of 16494 and 16503