What is the Greatest Common Factor of 58597 and 58608?

Greatest common factor (GCF) of 58597 and 58608 is 11.

GCF(58597,58608) = 11

We will now calculate the prime factors of 58597 and 58608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58597 and 58608.

How to find the GCF of 58597 and 58608?

We will first find the prime factorization of 58597 and 58608. After we will calculate the factors of 58597 and 58608 and find the biggest common factor number .

Step-1: Prime Factorization of 58597

Prime factors of 58597 are 7, 11, 761. Prime factorization of 58597 in exponential form is:

58597 = 7¹ × 11¹ × 761¹

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 58597

List of positive integer factors of 58597 that divides 58597 without a remainder.

1, 7, 11, 77, 761, 5327, 8371

Step-4: Factors of 58608

List of positive integer factors of 58608 that divides 58597 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 58597 and 58608. The biggest common factor number is the GCF number.
So the greatest common factor 58597 and 58608 is 11.

Also check out the Least Common Multiple of 58597 and 58608