What is the Greatest Common Factor of 58565 and 58582?

Greatest common factor (GCF) of 58565 and 58582 is 17.

GCF(58565,58582) = 17

We will now calculate the prime factors of 58565 and 58582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58565 and 58582.

How to find the GCF of 58565 and 58582?

We will first find the prime factorization of 58565 and 58582. After we will calculate the factors of 58565 and 58582 and find the biggest common factor number .

Step-1: Prime Factorization of 58565

Prime factors of 58565 are 5, 13, 17, 53. Prime factorization of 58565 in exponential form is:

58565 = 5¹ × 13¹ × 17¹ × 53¹

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 58565

List of positive integer factors of 58565 that divides 58565 without a remainder.

1, 5, 13, 17, 53, 65, 85, 221, 265, 689, 901, 1105, 3445, 4505, 11713

Step-4: Factors of 58582

List of positive integer factors of 58582 that divides 58565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58565 and 58582. The biggest common factor number is the GCF number.
So the greatest common factor 58565 and 58582 is 17.

Also check out the Least Common Multiple of 58565 and 58582