What is the Greatest Common Factor of 16565 and 16584?

Greatest common factor (GCF) of 16565 and 16584 is 1.

GCF(16565,16584) = 1

We will now calculate the prime factors of 16565 and 16584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16565 and 16584.

How to find the GCF of 16565 and 16584?

We will first find the prime factorization of 16565 and 16584. After we will calculate the factors of 16565 and 16584 and find the biggest common factor number .

Step-1: Prime Factorization of 16565

Prime factors of 16565 are 5, 3313. Prime factorization of 16565 in exponential form is:

16565 = 5¹ × 3313¹

Step-2: 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-3: Factors of 16565

List of positive integer factors of 16565 that divides 16565 without a remainder.

1, 5, 3313

Step-4: Factors of 16584

List of positive integer factors of 16584 that divides 16565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16565 and 16584. The biggest common factor number is the GCF number.
So the greatest common factor 16565 and 16584 is 1.

Also check out the Least Common Multiple of 16565 and 16584