What is the Greatest Common Factor of 58608 and 58626?

Greatest common factor (GCF) of 58608 and 58626 is 18.

GCF(58608,58626) = 18

We will now calculate the prime factors of 58608 and 58626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58608 and 58626.

How to find the GCF of 58608 and 58626?

We will first find the prime factorization of 58608 and 58626. After we will calculate the factors of 58608 and 58626 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 58626

Prime factors of 58626 are 2, 3, 3257. Prime factorization of 58626 in exponential form is:

58626 = 2¹ × 3² × 3257¹

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 58626

List of positive integer factors of 58626 that divides 58608 without a remainder.

1, 2, 3, 6, 9, 18, 3257, 6514, 9771, 19542, 29313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58608 and 58626. The biggest common factor number is the GCF number.
So the greatest common factor 58608 and 58626 is 18.

Also check out the Least Common Multiple of 58608 and 58626