What is the Greatest Common Factor of 58032 and 58043?

Greatest common factor (GCF) of 58032 and 58043 is 1.

GCF(58032,58043) = 1

We will now calculate the prime factors of 58032 and 58043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58032 and 58043.

How to find the GCF of 58032 and 58043?

We will first find the prime factorization of 58032 and 58043. After we will calculate the factors of 58032 and 58043 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58043

Prime factors of 58043 are 58043. Prime factorization of 58043 in exponential form is:

58043 = 58043¹

Step-3: Factors of 58032

List of positive integer factors of 58032 that divides 58032 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

Step-4: Factors of 58043

List of positive integer factors of 58043 that divides 58032 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58032 and 58043. The biggest common factor number is the GCF number.
So the greatest common factor 58032 and 58043 is 1.

Also check out the Least Common Multiple of 58032 and 58043