What is the Greatest Common Factor of 18504 and 18522?

Greatest common factor (GCF) of 18504 and 18522 is 18.

GCF(18504,18522) = 18

We will now calculate the prime factors of 18504 and 18522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18504 and 18522.

How to find the GCF of 18504 and 18522?

We will first find the prime factorization of 18504 and 18522. After we will calculate the factors of 18504 and 18522 and find the biggest common factor number .

Step-1: Prime Factorization of 18504

Prime factors of 18504 are 2, 3, 257. Prime factorization of 18504 in exponential form is:

18504 = 2³ × 3² × 257¹

Step-2: Prime Factorization of 18522

Prime factors of 18522 are 2, 3, 7. Prime factorization of 18522 in exponential form is:

18522 = 2¹ × 3³ × 7³

Step-3: Factors of 18504

List of positive integer factors of 18504 that divides 18504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 257, 514, 771, 1028, 1542, 2056, 2313, 3084, 4626, 6168, 9252

Step-4: Factors of 18522

List of positive integer factors of 18522 that divides 18504 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 343, 378, 441, 686, 882, 1029, 1323, 2058, 2646, 3087, 6174, 9261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18504 and 18522. The biggest common factor number is the GCF number.
So the greatest common factor 18504 and 18522 is 18.

Also check out the Least Common Multiple of 18504 and 18522