What is the Greatest Common Factor of 6578 and 6589?

Greatest common factor (GCF) of 6578 and 6589 is 11.

GCF(6578,6589) = 11

We will now calculate the prime factors of 6578 and 6589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6578 and 6589.

How to find the GCF of 6578 and 6589?

We will first find the prime factorization of 6578 and 6589. After we will calculate the factors of 6578 and 6589 and find the biggest common factor number .

Step-1: Prime Factorization of 6578

Prime factors of 6578 are 2, 11, 13, 23. Prime factorization of 6578 in exponential form is:

6578 = 2¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 6589

Prime factors of 6589 are 11, 599. Prime factorization of 6589 in exponential form is:

6589 = 11¹ × 599¹

Step-3: Factors of 6578

List of positive integer factors of 6578 that divides 6578 without a remainder.

1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289

Step-4: Factors of 6589

List of positive integer factors of 6589 that divides 6578 without a remainder.

1, 11, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6578 and 6589. The biggest common factor number is the GCF number.
So the greatest common factor 6578 and 6589 is 11.

Also check out the Least Common Multiple of 6578 and 6589