What is the Greatest Common Factor of 16584 and 16593?

Greatest common factor (GCF) of 16584 and 16593 is 3.

GCF(16584,16593) = 3

We will now calculate the prime factors of 16584 and 16593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16584 and 16593.

How to find the GCF of 16584 and 16593?

We will first find the prime factorization of 16584 and 16593. After we will calculate the factors of 16584 and 16593 and find the biggest common factor number .

Step-1: Prime Factorization of 16584

Prime factors of 16584 are 2, 3, 691. Prime factorization of 16584 in exponential form is:

16584 = 2³ × 3¹ × 691¹

Step-2: Prime Factorization of 16593

Prime factors of 16593 are 3, 5531. Prime factorization of 16593 in exponential form is:

16593 = 3¹ × 5531¹

Step-3: Factors of 16584

List of positive integer factors of 16584 that divides 16584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 691, 1382, 2073, 2764, 4146, 5528, 8292

Step-4: Factors of 16593

List of positive integer factors of 16593 that divides 16584 without a remainder.

1, 3, 5531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16584 and 16593. The biggest common factor number is the GCF number.
So the greatest common factor 16584 and 16593 is 3.

Also check out the Least Common Multiple of 16584 and 16593