What is the Greatest Common Factor of 18576 and 18594?

Greatest common factor (GCF) of 18576 and 18594 is 18.

GCF(18576,18594) = 18

We will now calculate the prime factors of 18576 and 18594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18576 and 18594.

How to find the GCF of 18576 and 18594?

We will first find the prime factorization of 18576 and 18594. After we will calculate the factors of 18576 and 18594 and find the biggest common factor number .

Step-1: Prime Factorization of 18576

Prime factors of 18576 are 2, 3, 43. Prime factorization of 18576 in exponential form is:

18576 = 2⁴ × 3³ × 43¹

Step-2: Prime Factorization of 18594

Prime factors of 18594 are 2, 3, 1033. Prime factorization of 18594 in exponential form is:

18594 = 2¹ × 3² × 1033¹

Step-3: Factors of 18576

List of positive integer factors of 18576 that divides 18576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 43, 48, 54, 72, 86, 108, 129, 144, 172, 216, 258, 344, 387, 432, 516, 688, 774, 1032, 1161, 1548, 2064, 2322, 3096, 4644, 6192, 9288

Step-4: Factors of 18594

List of positive integer factors of 18594 that divides 18576 without a remainder.

1, 2, 3, 6, 9, 18, 1033, 2066, 3099, 6198, 9297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18576 and 18594. The biggest common factor number is the GCF number.
So the greatest common factor 18576 and 18594 is 18.

Also check out the Least Common Multiple of 18576 and 18594