What is the Greatest Common Factor of 66504 and 66521?

Greatest common factor (GCF) of 66504 and 66521 is 17.

GCF(66504,66521) = 17

We will now calculate the prime factors of 66504 and 66521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66504 and 66521.

How to find the GCF of 66504 and 66521?

We will first find the prime factorization of 66504 and 66521. After we will calculate the factors of 66504 and 66521 and find the biggest common factor number .

Step-1: Prime Factorization of 66504

Prime factors of 66504 are 2, 3, 17, 163. Prime factorization of 66504 in exponential form is:

66504 = 2³ × 3¹ × 17¹ × 163¹

Step-2: Prime Factorization of 66521

Prime factors of 66521 are 7, 13, 17, 43. Prime factorization of 66521 in exponential form is:

66521 = 7¹ × 13¹ × 17¹ × 43¹

Step-3: Factors of 66504

List of positive integer factors of 66504 that divides 66504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 163, 204, 326, 408, 489, 652, 978, 1304, 1956, 2771, 3912, 5542, 8313, 11084, 16626, 22168, 33252

Step-4: Factors of 66521

List of positive integer factors of 66521 that divides 66504 without a remainder.

1, 7, 13, 17, 43, 91, 119, 221, 301, 559, 731, 1547, 3913, 5117, 9503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66504 and 66521. The biggest common factor number is the GCF number.
So the greatest common factor 66504 and 66521 is 17.

Also check out the Least Common Multiple of 66504 and 66521