What is the Greatest Common Factor of 58608 and 58625?

Greatest common factor (GCF) of 58608 and 58625 is 1.

GCF(58608,58625) = 1

We will now calculate the prime factors of 58608 and 58625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58608 and 58625.

How to find the GCF of 58608 and 58625?

We will first find the prime factorization of 58608 and 58625. After we will calculate the factors of 58608 and 58625 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 58625

Prime factors of 58625 are 5, 7, 67. Prime factorization of 58625 in exponential form is:

58625 = 5³ × 7¹ × 67¹

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 58625

List of positive integer factors of 58625 that divides 58608 without a remainder.

1, 5, 7, 25, 35, 67, 125, 175, 335, 469, 875, 1675, 2345, 8375, 11725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58608 and 58625. The biggest common factor number is the GCF number.
So the greatest common factor 58608 and 58625 is 1.

Also check out the Least Common Multiple of 58608 and 58625