What is the Greatest Common Factor of 18548 and 18566?

Greatest common factor (GCF) of 18548 and 18566 is 2.

GCF(18548,18566) = 2

We will now calculate the prime factors of 18548 and 18566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18548 and 18566.

How to find the GCF of 18548 and 18566?

We will first find the prime factorization of 18548 and 18566. After we will calculate the factors of 18548 and 18566 and find the biggest common factor number .

Step-1: Prime Factorization of 18548

Prime factors of 18548 are 2, 4637. Prime factorization of 18548 in exponential form is:

18548 = 2² × 4637¹

Step-2: Prime Factorization of 18566

Prime factors of 18566 are 2, 9283. Prime factorization of 18566 in exponential form is:

18566 = 2¹ × 9283¹

Step-3: Factors of 18548

List of positive integer factors of 18548 that divides 18548 without a remainder.

1, 2, 4, 4637, 9274

Step-4: Factors of 18566

List of positive integer factors of 18566 that divides 18548 without a remainder.

1, 2, 9283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18548 and 18566. The biggest common factor number is the GCF number.
So the greatest common factor 18548 and 18566 is 2.

Also check out the Least Common Multiple of 18548 and 18566