What is the Greatest Common Factor of 16556 and 16565?

Greatest common factor (GCF) of 16556 and 16565 is 1.

GCF(16556,16565) = 1

We will now calculate the prime factors of 16556 and 16565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16556 and 16565.

How to find the GCF of 16556 and 16565?

We will first find the prime factorization of 16556 and 16565. After we will calculate the factors of 16556 and 16565 and find the biggest common factor number .

Step-1: Prime Factorization of 16556

Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:

16556 = 2² × 4139¹

Step-2: Prime Factorization of 16565

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

16565 = 5¹ × 3313¹

Step-3: Factors of 16556

List of positive integer factors of 16556 that divides 16556 without a remainder.

1, 2, 4, 4139, 8278

Step-4: Factors of 16565

List of positive integer factors of 16565 that divides 16556 without a remainder.

1, 5, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16556 and 16565. The biggest common factor number is the GCF number.
So the greatest common factor 16556 and 16565 is 1.

Also check out the Least Common Multiple of 16556 and 16565