What is the Greatest Common Factor of 43582 and 43589?

Greatest common factor (GCF) of 43582 and 43589 is 7.

GCF(43582,43589) = 7

We will now calculate the prime factors of 43582 and 43589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43582 and 43589.

How to find the GCF of 43582 and 43589?

We will first find the prime factorization of 43582 and 43589. After we will calculate the factors of 43582 and 43589 and find the biggest common factor number .

Step-1: Prime Factorization of 43582

Prime factors of 43582 are 2, 7, 11, 283. Prime factorization of 43582 in exponential form is:

43582 = 2¹ × 7¹ × 11¹ × 283¹

Step-2: Prime Factorization of 43589

Prime factors of 43589 are 7, 13, 479. Prime factorization of 43589 in exponential form is:

43589 = 7¹ × 13¹ × 479¹

Step-3: Factors of 43582

List of positive integer factors of 43582 that divides 43582 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 283, 566, 1981, 3113, 3962, 6226, 21791

Step-4: Factors of 43589

List of positive integer factors of 43589 that divides 43582 without a remainder.

1, 7, 13, 91, 479, 3353, 6227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43582 and 43589. The biggest common factor number is the GCF number.
So the greatest common factor 43582 and 43589 is 7.

Also check out the Least Common Multiple of 43582 and 43589