What is the Greatest Common Factor of 58032 and 58045?

Greatest common factor (GCF) of 58032 and 58045 is 13.

GCF(58032,58045) = 13

We will now calculate the prime factors of 58032 and 58045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58032 and 58045.

How to find the GCF of 58032 and 58045?

We will first find the prime factorization of 58032 and 58045. After we will calculate the factors of 58032 and 58045 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 58045

Prime factors of 58045 are 5, 13, 19, 47. Prime factorization of 58045 in exponential form is:

58045 = 5¹ × 13¹ × 19¹ × 47¹

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 58045

List of positive integer factors of 58045 that divides 58032 without a remainder.

1, 5, 13, 19, 47, 65, 95, 235, 247, 611, 893, 1235, 3055, 4465, 11609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58032 and 58045. The biggest common factor number is the GCF number.
So the greatest common factor 58032 and 58045 is 13.

Also check out the Least Common Multiple of 58032 and 58045