What is the Greatest Common Factor of 59578 and 59582?

Greatest common factor (GCF) of 59578 and 59582 is 2.

GCF(59578,59582) = 2

We will now calculate the prime factors of 59578 and 59582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59578 and 59582.

How to find the GCF of 59578 and 59582?

We will first find the prime factorization of 59578 and 59582. After we will calculate the factors of 59578 and 59582 and find the biggest common factor number .

Step-1: Prime Factorization of 59578

Prime factors of 59578 are 2, 29789. Prime factorization of 59578 in exponential form is:

59578 = 2¹ × 29789¹

Step-2: Prime Factorization of 59582

Prime factors of 59582 are 2, 31. Prime factorization of 59582 in exponential form is:

59582 = 2¹ × 31³

Step-3: Factors of 59578

List of positive integer factors of 59578 that divides 59578 without a remainder.

1, 2, 29789

Step-4: Factors of 59582

List of positive integer factors of 59582 that divides 59578 without a remainder.

1, 2, 31, 62, 961, 1922, 29791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59578 and 59582. The biggest common factor number is the GCF number.
So the greatest common factor 59578 and 59582 is 2.

Also check out the Least Common Multiple of 59578 and 59582