What is the Greatest Common Factor of 18504 and 18524?

Greatest common factor (GCF) of 18504 and 18524 is 4.

GCF(18504,18524) = 4

We will now calculate the prime factors of 18504 and 18524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18504 and 18524.

How to find the GCF of 18504 and 18524?

We will first find the prime factorization of 18504 and 18524. After we will calculate the factors of 18504 and 18524 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 18524

Prime factors of 18524 are 2, 11, 421. Prime factorization of 18524 in exponential form is:

18524 = 2² × 11¹ × 421¹

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 18524

List of positive integer factors of 18524 that divides 18504 without a remainder.

1, 2, 4, 11, 22, 44, 421, 842, 1684, 4631, 9262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18504 and 18524. The biggest common factor number is the GCF number.
So the greatest common factor 18504 and 18524 is 4.

Also check out the Least Common Multiple of 18504 and 18524