What is the Greatest Common Factor of 68577 and 68589?

Greatest common factor (GCF) of 68577 and 68589 is 3.

GCF(68577,68589) = 3

We will now calculate the prime factors of 68577 and 68589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68577 and 68589.

How to find the GCF of 68577 and 68589?

We will first find the prime factorization of 68577 and 68589. After we will calculate the factors of 68577 and 68589 and find the biggest common factor number .

Step-1: Prime Factorization of 68577

Prime factors of 68577 are 3, 22859. Prime factorization of 68577 in exponential form is:

68577 = 3¹ × 22859¹

Step-2: Prime Factorization of 68589

Prime factors of 68589 are 3, 7621. Prime factorization of 68589 in exponential form is:

68589 = 3² × 7621¹

Step-3: Factors of 68577

List of positive integer factors of 68577 that divides 68577 without a remainder.

1, 3, 22859

Step-4: Factors of 68589

List of positive integer factors of 68589 that divides 68577 without a remainder.

1, 3, 9, 7621, 22863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68577 and 68589. The biggest common factor number is the GCF number.
So the greatest common factor 68577 and 68589 is 3.

Also check out the Least Common Multiple of 68577 and 68589