What is the Greatest Common Factor of 18561 and 18567?

Greatest common factor (GCF) of 18561 and 18567 is 3.

GCF(18561,18567) = 3

We will now calculate the prime factors of 18561 and 18567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18561 and 18567.

How to find the GCF of 18561 and 18567?

We will first find the prime factorization of 18561 and 18567. After we will calculate the factors of 18561 and 18567 and find the biggest common factor number .

Step-1: Prime Factorization of 18561

Prime factors of 18561 are 3, 23, 269. Prime factorization of 18561 in exponential form is:

18561 = 3¹ × 23¹ × 269¹

Step-2: Prime Factorization of 18567

Prime factors of 18567 are 3, 2063. Prime factorization of 18567 in exponential form is:

18567 = 3² × 2063¹

Step-3: Factors of 18561

List of positive integer factors of 18561 that divides 18561 without a remainder.

1, 3, 23, 69, 269, 807, 6187

Step-4: Factors of 18567

List of positive integer factors of 18567 that divides 18561 without a remainder.

1, 3, 9, 2063, 6189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18561 and 18567. The biggest common factor number is the GCF number.
So the greatest common factor 18561 and 18567 is 3.

Also check out the Least Common Multiple of 18561 and 18567