What is the Greatest Common Factor of 16555 and 16566?

Greatest common factor (GCF) of 16555 and 16566 is 11.

GCF(16555,16566) = 11

We will now calculate the prime factors of 16555 and 16566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16555 and 16566.

How to find the GCF of 16555 and 16566?

We will first find the prime factorization of 16555 and 16566. After we will calculate the factors of 16555 and 16566 and find the biggest common factor number .

Step-1: Prime Factorization of 16555

Prime factors of 16555 are 5, 7, 11, 43. Prime factorization of 16555 in exponential form is:

16555 = 5¹ × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 16566

Prime factors of 16566 are 2, 3, 11, 251. Prime factorization of 16566 in exponential form is:

16566 = 2¹ × 3¹ × 11¹ × 251¹

Step-3: Factors of 16555

List of positive integer factors of 16555 that divides 16555 without a remainder.

1, 5, 7, 11, 35, 43, 55, 77, 215, 301, 385, 473, 1505, 2365, 3311

Step-4: Factors of 16566

List of positive integer factors of 16566 that divides 16555 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 251, 502, 753, 1506, 2761, 5522, 8283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16555 and 16566. The biggest common factor number is the GCF number.
So the greatest common factor 16555 and 16566 is 11.

Also check out the Least Common Multiple of 16555 and 16566