What is the Greatest Common Factor of 58608 and 58617?

Greatest common factor (GCF) of 58608 and 58617 is 9.

GCF(58608,58617) = 9

We will now calculate the prime factors of 58608 and 58617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58608 and 58617.

How to find the GCF of 58608 and 58617?

We will first find the prime factorization of 58608 and 58617. After we will calculate the factors of 58608 and 58617 and find the biggest common factor number .

Step-1: Prime Factorization of 58608

Prime factors of 58608 are 2, 3, 11, 37. Prime factorization of 58608 in exponential form is:

58608 = 2⁴ × 3² × 11¹ × 37¹

Step-2: Prime Factorization of 58617

Prime factors of 58617 are 3, 13, 167. Prime factorization of 58617 in exponential form is:

58617 = 3³ × 13¹ × 167¹

Step-3: Factors of 58608

List of positive integer factors of 58608 that divides 58608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 37, 44, 48, 66, 72, 74, 88, 99, 111, 132, 144, 148, 176, 198, 222, 264, 296, 333, 396, 407, 444, 528, 592, 666, 792, 814, 888, 1221, 1332, 1584, 1628, 1776, 2442, 2664, 3256, 3663, 4884, 5328, 6512, 7326, 9768, 14652, 19536, 29304

Step-4: Factors of 58617

List of positive integer factors of 58617 that divides 58608 without a remainder.

1, 3, 9, 13, 27, 39, 117, 167, 351, 501, 1503, 2171, 4509, 6513, 19539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58608 and 58617. The biggest common factor number is the GCF number.
So the greatest common factor 58608 and 58617 is 9.

Also check out the Least Common Multiple of 58608 and 58617