What is the Greatest Common Factor of 66585 and 66590?

Greatest common factor (GCF) of 66585 and 66590 is 5.

GCF(66585,66590) = 5

We will now calculate the prime factors of 66585 and 66590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66585 and 66590.

How to find the GCF of 66585 and 66590?

We will first find the prime factorization of 66585 and 66590. After we will calculate the factors of 66585 and 66590 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 66590

Prime factors of 66590 are 2, 5, 6659. Prime factorization of 66590 in exponential form is:

66590 = 2¹ × 5¹ × 6659¹

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 66590

List of positive integer factors of 66590 that divides 66585 without a remainder.

1, 2, 5, 10, 6659, 13318, 33295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66585 and 66590. The biggest common factor number is the GCF number.
So the greatest common factor 66585 and 66590 is 5.

Also check out the Least Common Multiple of 66585 and 66590