What is the Greatest Common Factor of 66489 and 66508?

Greatest common factor (GCF) of 66489 and 66508 is 1.

GCF(66489,66508) = 1

We will now calculate the prime factors of 66489 and 66508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66489 and 66508.

How to find the GCF of 66489 and 66508?

We will first find the prime factorization of 66489 and 66508. After we will calculate the factors of 66489 and 66508 and find the biggest common factor number .

Step-1: Prime Factorization of 66489

Prime factors of 66489 are 3, 37, 599. Prime factorization of 66489 in exponential form is:

66489 = 3¹ × 37¹ × 599¹

Step-2: Prime Factorization of 66508

Prime factors of 66508 are 2, 13, 1279. Prime factorization of 66508 in exponential form is:

66508 = 2² × 13¹ × 1279¹

Step-3: Factors of 66489

List of positive integer factors of 66489 that divides 66489 without a remainder.

1, 3, 37, 111, 599, 1797, 22163

Step-4: Factors of 66508

List of positive integer factors of 66508 that divides 66489 without a remainder.

1, 2, 4, 13, 26, 52, 1279, 2558, 5116, 16627, 33254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66489 and 66508. The biggest common factor number is the GCF number.
So the greatest common factor 66489 and 66508 is 1.

Also check out the Least Common Multiple of 66489 and 66508