What is the Greatest Common Factor of 16546 and 16564?

Greatest common factor (GCF) of 16546 and 16564 is 2.

GCF(16546,16564) = 2

We will now calculate the prime factors of 16546 and 16564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16546 and 16564.

How to find the GCF of 16546 and 16564?

We will first find the prime factorization of 16546 and 16564. After we will calculate the factors of 16546 and 16564 and find the biggest common factor number .

Step-1: Prime Factorization of 16546

Prime factors of 16546 are 2, 8273. Prime factorization of 16546 in exponential form is:

16546 = 2¹ × 8273¹

Step-2: Prime Factorization of 16564

Prime factors of 16564 are 2, 41, 101. Prime factorization of 16564 in exponential form is:

16564 = 2² × 41¹ × 101¹

Step-3: Factors of 16546

List of positive integer factors of 16546 that divides 16546 without a remainder.

1, 2, 8273

Step-4: Factors of 16564

List of positive integer factors of 16564 that divides 16546 without a remainder.

1, 2, 4, 41, 82, 101, 164, 202, 404, 4141, 8282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16546 and 16564. The biggest common factor number is the GCF number.
So the greatest common factor 16546 and 16564 is 2.

Also check out the Least Common Multiple of 16546 and 16564