What is the Greatest Common Factor of 58017 and 58032?

Greatest common factor (GCF) of 58017 and 58032 is 3.

GCF(58017,58032) = 3

We will now calculate the prime factors of 58017 and 58032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58017 and 58032.

How to find the GCF of 58017 and 58032?

We will first find the prime factorization of 58017 and 58032. After we will calculate the factors of 58017 and 58032 and find the biggest common factor number .

Step-1: Prime Factorization of 58017

Prime factors of 58017 are 3, 83, 233. Prime factorization of 58017 in exponential form is:

58017 = 3¹ × 83¹ × 233¹

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 58017

List of positive integer factors of 58017 that divides 58017 without a remainder.

1, 3, 83, 233, 249, 699, 19339

Step-4: Factors of 58032

List of positive integer factors of 58032 that divides 58017 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 58017 and 58032. The biggest common factor number is the GCF number.
So the greatest common factor 58017 and 58032 is 3.

Also check out the Least Common Multiple of 58017 and 58032