What is the Greatest Common Factor of 66504 and 66523?

Greatest common factor (GCF) of 66504 and 66523 is 1.

GCF(66504,66523) = 1

We will now calculate the prime factors of 66504 and 66523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66504 and 66523.

How to find the GCF of 66504 and 66523?

We will first find the prime factorization of 66504 and 66523. After we will calculate the factors of 66504 and 66523 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 66523

Prime factors of 66523 are 66523. Prime factorization of 66523 in exponential form is:

66523 = 66523¹

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 66523

List of positive integer factors of 66523 that divides 66504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66504 and 66523. The biggest common factor number is the GCF number.
So the greatest common factor 66504 and 66523 is 1.

Also check out the Least Common Multiple of 66504 and 66523