What is the Greatest Common Factor of 58568 and 58582?

Greatest common factor (GCF) of 58568 and 58582 is 2.

GCF(58568,58582) = 2

We will now calculate the prime factors of 58568 and 58582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58568 and 58582.

How to find the GCF of 58568 and 58582?

We will first find the prime factorization of 58568 and 58582. After we will calculate the factors of 58568 and 58582 and find the biggest common factor number .

Step-1: Prime Factorization of 58568

Prime factors of 58568 are 2, 7321. Prime factorization of 58568 in exponential form is:

58568 = 2³ × 7321¹

Step-2: Prime Factorization of 58582

Prime factors of 58582 are 2, 17, 1723. Prime factorization of 58582 in exponential form is:

58582 = 2¹ × 17¹ × 1723¹

Step-3: Factors of 58568

List of positive integer factors of 58568 that divides 58568 without a remainder.

1, 2, 4, 8, 7321, 14642, 29284

Step-4: Factors of 58582

List of positive integer factors of 58582 that divides 58568 without a remainder.

1, 2, 17, 34, 1723, 3446, 29291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58568 and 58582. The biggest common factor number is the GCF number.
So the greatest common factor 58568 and 58582 is 2.

Also check out the Least Common Multiple of 58568 and 58582