What is the Greatest Common Factor of 66585 and 66591?

Greatest common factor (GCF) of 66585 and 66591 is 3.

GCF(66585,66591) = 3

We will now calculate the prime factors of 66585 and 66591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66585 and 66591.

How to find the GCF of 66585 and 66591?

We will first find the prime factorization of 66585 and 66591. After we will calculate the factors of 66585 and 66591 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66591

Prime factors of 66591 are 3, 7, 151. Prime factorization of 66591 in exponential form is:

66591 = 3² × 7² × 151¹

Step-3: Factors of 66585

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

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

Step-4: Factors of 66591

List of positive integer factors of 66591 that divides 66585 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 151, 441, 453, 1057, 1359, 3171, 7399, 9513, 22197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66585 and 66591. The biggest common factor number is the GCF number.
So the greatest common factor 66585 and 66591 is 3.

Also check out the Least Common Multiple of 66585 and 66591