What is the Greatest Common Factor of 66573 and 66585?

Greatest common factor (GCF) of 66573 and 66585 is 3.

GCF(66573,66585) = 3

We will now calculate the prime factors of 66573 and 66585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66573 and 66585.

How to find the GCF of 66573 and 66585?

We will first find the prime factorization of 66573 and 66585. After we will calculate the factors of 66573 and 66585 and find the biggest common factor number .

Step-1: Prime Factorization of 66573

Prime factors of 66573 are 3, 13, 569. Prime factorization of 66573 in exponential form is:

66573 = 3² × 13¹ × 569¹

Step-2: Prime Factorization of 66585

Prime factors of 66585 are 3, 5, 23, 193. Prime factorization of 66585 in exponential form is:

66585 = 3¹ × 5¹ × 23¹ × 193¹

Step-3: Factors of 66573

List of positive integer factors of 66573 that divides 66573 without a remainder.

1, 3, 9, 13, 39, 117, 569, 1707, 5121, 7397, 22191

Step-4: Factors of 66585

List of positive integer factors of 66585 that divides 66573 without a remainder.

1, 3, 5, 15, 23, 69, 115, 193, 345, 579, 965, 2895, 4439, 13317, 22195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66573 and 66585. The biggest common factor number is the GCF number.
So the greatest common factor 66573 and 66585 is 3.

Also check out the Least Common Multiple of 66573 and 66585