What is the Greatest Common Factor of 18546 and 18563?

Greatest common factor (GCF) of 18546 and 18563 is 1.

GCF(18546,18563) = 1

We will now calculate the prime factors of 18546 and 18563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18546 and 18563.

How to find the GCF of 18546 and 18563?

We will first find the prime factorization of 18546 and 18563. After we will calculate the factors of 18546 and 18563 and find the biggest common factor number .

Step-1: Prime Factorization of 18546

Prime factors of 18546 are 2, 3, 11, 281. Prime factorization of 18546 in exponential form is:

18546 = 2¹ × 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 18563

Prime factors of 18563 are 19, 977. Prime factorization of 18563 in exponential form is:

18563 = 19¹ × 977¹

Step-3: Factors of 18546

List of positive integer factors of 18546 that divides 18546 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 281, 562, 843, 1686, 3091, 6182, 9273

Step-4: Factors of 18563

List of positive integer factors of 18563 that divides 18546 without a remainder.

1, 19, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18546 and 18563. The biggest common factor number is the GCF number.
So the greatest common factor 18546 and 18563 is 1.

Also check out the Least Common Multiple of 18546 and 18563