What is the Greatest Common Factor of 66584 and 66589?

Greatest common factor (GCF) of 66584 and 66589 is 1.

GCF(66584,66589) = 1

We will now calculate the prime factors of 66584 and 66589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66584 and 66589.

How to find the GCF of 66584 and 66589?

We will first find the prime factorization of 66584 and 66589. After we will calculate the factors of 66584 and 66589 and find the biggest common factor number .

Step-1: Prime Factorization of 66584

Prime factors of 66584 are 2, 7, 29, 41. Prime factorization of 66584 in exponential form is:

66584 = 2³ × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 66589

Prime factors of 66589 are 17, 3917. Prime factorization of 66589 in exponential form is:

66589 = 17¹ × 3917¹

Step-3: Factors of 66584

List of positive integer factors of 66584 that divides 66584 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 41, 56, 58, 82, 116, 164, 203, 232, 287, 328, 406, 574, 812, 1148, 1189, 1624, 2296, 2378, 4756, 8323, 9512, 16646, 33292

Step-4: Factors of 66589

List of positive integer factors of 66589 that divides 66584 without a remainder.

1, 17, 3917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66584 and 66589. The biggest common factor number is the GCF number.
So the greatest common factor 66584 and 66589 is 1.

Also check out the Least Common Multiple of 66584 and 66589