What is the Greatest Common Factor of 58014 and 58032?

Greatest common factor (GCF) of 58014 and 58032 is 18.

GCF(58014,58032) = 18

We will now calculate the prime factors of 58014 and 58032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58014 and 58032.

How to find the GCF of 58014 and 58032?

We will first find the prime factorization of 58014 and 58032. After we will calculate the factors of 58014 and 58032 and find the biggest common factor number .

Step-1: Prime Factorization of 58014

Prime factors of 58014 are 2, 3, 11, 293. Prime factorization of 58014 in exponential form is:

58014 = 2¹ × 3² × 11¹ × 293¹

Step-2: Prime Factorization of 58032

Prime factors of 58032 are 2, 3, 13, 31. Prime factorization of 58032 in exponential form is:

58032 = 2⁴ × 3² × 13¹ × 31¹

Step-3: Factors of 58014

List of positive integer factors of 58014 that divides 58014 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758, 2637, 3223, 5274, 6446, 9669, 19338, 29007

Step-4: Factors of 58032

List of positive integer factors of 58032 that divides 58014 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 31, 36, 39, 48, 52, 62, 72, 78, 93, 104, 117, 124, 144, 156, 186, 208, 234, 248, 279, 312, 372, 403, 468, 496, 558, 624, 744, 806, 936, 1116, 1209, 1488, 1612, 1872, 2232, 2418, 3224, 3627, 4464, 4836, 6448, 7254, 9672, 14508, 19344, 29016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58014 and 58032. The biggest common factor number is the GCF number.
So the greatest common factor 58014 and 58032 is 18.

Also check out the Least Common Multiple of 58014 and 58032