What is the Greatest Common Factor of 58600 and 58608?

Greatest common factor (GCF) of 58600 and 58608 is 8.

GCF(58600,58608) = 8

We will now calculate the prime factors of 58600 and 58608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58600 and 58608.

How to find the GCF of 58600 and 58608?

We will first find the prime factorization of 58600 and 58608. After we will calculate the factors of 58600 and 58608 and find the biggest common factor number .

Step-1: Prime Factorization of 58600

Prime factors of 58600 are 2, 5, 293. Prime factorization of 58600 in exponential form is:

58600 = 2³ × 5² × 293¹

Step-2: 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-3: Factors of 58600

List of positive integer factors of 58600 that divides 58600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 293, 586, 1172, 1465, 2344, 2930, 5860, 7325, 11720, 14650, 29300

Step-4: Factors of 58608

List of positive integer factors of 58608 that divides 58600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58600 and 58608. The biggest common factor number is the GCF number.
So the greatest common factor 58600 and 58608 is 8.

Also check out the Least Common Multiple of 58600 and 58608