What is the Greatest Common Factor of 58695 and 58715?

Greatest common factor (GCF) of 58695 and 58715 is 5.

GCF(58695,58715) = 5

We will now calculate the prime factors of 58695 and 58715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58695 and 58715.

How to find the GCF of 58695 and 58715?

We will first find the prime factorization of 58695 and 58715. After we will calculate the factors of 58695 and 58715 and find the biggest common factor number .

Step-1: Prime Factorization of 58695

Prime factors of 58695 are 3, 5, 7, 13, 43. Prime factorization of 58695 in exponential form is:

58695 = 3¹ × 5¹ × 7¹ × 13¹ × 43¹

Step-2: Prime Factorization of 58715

Prime factors of 58715 are 5, 11743. Prime factorization of 58715 in exponential form is:

58715 = 5¹ × 11743¹

Step-3: Factors of 58695

List of positive integer factors of 58695 that divides 58695 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 43, 65, 91, 105, 129, 195, 215, 273, 301, 455, 559, 645, 903, 1365, 1505, 1677, 2795, 3913, 4515, 8385, 11739, 19565

Step-4: Factors of 58715

List of positive integer factors of 58715 that divides 58695 without a remainder.

1, 5, 11743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58695 and 58715. The biggest common factor number is the GCF number.
So the greatest common factor 58695 and 58715 is 5.

Also check out the Least Common Multiple of 58695 and 58715