What is the Greatest Common Factor of 59582 and 59598?

Greatest common factor (GCF) of 59582 and 59598 is 2.

GCF(59582,59598) = 2

We will now calculate the prime factors of 59582 and 59598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59582 and 59598.

How to find the GCF of 59582 and 59598?

We will first find the prime factorization of 59582 and 59598. After we will calculate the factors of 59582 and 59598 and find the biggest common factor number .

Step-1: Prime Factorization of 59582

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

59582 = 2¹ × 31³

Step-2: Prime Factorization of 59598

Prime factors of 59598 are 2, 3, 7, 11, 43. Prime factorization of 59598 in exponential form is:

59598 = 2¹ × 3² × 7¹ × 11¹ × 43¹

Step-3: Factors of 59582

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

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

Step-4: Factors of 59598

List of positive integer factors of 59598 that divides 59582 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 43, 63, 66, 77, 86, 99, 126, 129, 154, 198, 231, 258, 301, 387, 462, 473, 602, 693, 774, 903, 946, 1386, 1419, 1806, 2709, 2838, 3311, 4257, 5418, 6622, 8514, 9933, 19866, 29799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59582 and 59598. The biggest common factor number is the GCF number.
So the greatest common factor 59582 and 59598 is 2.

Also check out the Least Common Multiple of 59582 and 59598