What is the Greatest Common Factor of 18496 and 18504?

Greatest common factor (GCF) of 18496 and 18504 is 8.

GCF(18496,18504) = 8

We will now calculate the prime factors of 18496 and 18504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18496 and 18504.

How to find the GCF of 18496 and 18504?

We will first find the prime factorization of 18496 and 18504. After we will calculate the factors of 18496 and 18504 and find the biggest common factor number .

Step-1: Prime Factorization of 18496

Prime factors of 18496 are 2, 17. Prime factorization of 18496 in exponential form is:

18496 = 2⁶ × 17²

Step-2: 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-3: Factors of 18496

List of positive integer factors of 18496 that divides 18496 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248

Step-4: Factors of 18504

List of positive integer factors of 18504 that divides 18496 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18496 and 18504. The biggest common factor number is the GCF number.
So the greatest common factor 18496 and 18504 is 8.

Also check out the Least Common Multiple of 18496 and 18504