What is the Greatest Common Factor of 58578 and 58582?

Greatest common factor (GCF) of 58578 and 58582 is 2.

GCF(58578,58582) = 2

We will now calculate the prime factors of 58578 and 58582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58578 and 58582.

How to find the GCF of 58578 and 58582?

We will first find the prime factorization of 58578 and 58582. After we will calculate the factors of 58578 and 58582 and find the biggest common factor number .

Step-1: Prime Factorization of 58578

Prime factors of 58578 are 2, 3, 13, 751. Prime factorization of 58578 in exponential form is:

58578 = 2¹ × 3¹ × 13¹ × 751¹

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 58578

List of positive integer factors of 58578 that divides 58578 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 751, 1502, 2253, 4506, 9763, 19526, 29289

Step-4: Factors of 58582

List of positive integer factors of 58582 that divides 58578 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58578 and 58582. The biggest common factor number is the GCF number.
So the greatest common factor 58578 and 58582 is 2.

Also check out the Least Common Multiple of 58578 and 58582