What is the Greatest Common Factor of 58689 and 58695?

Greatest common factor (GCF) of 58689 and 58695 is 3.

GCF(58689,58695) = 3

We will now calculate the prime factors of 58689 and 58695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58689 and 58695.

How to find the GCF of 58689 and 58695?

We will first find the prime factorization of 58689 and 58695. After we will calculate the factors of 58689 and 58695 and find the biggest common factor number .

Step-1: Prime Factorization of 58689

Prime factors of 58689 are 3, 6521. Prime factorization of 58689 in exponential form is:

58689 = 3² × 6521¹

Step-2: 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-3: Factors of 58689

List of positive integer factors of 58689 that divides 58689 without a remainder.

1, 3, 9, 6521, 19563

Step-4: Factors of 58695

List of positive integer factors of 58695 that divides 58689 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58689 and 58695. The biggest common factor number is the GCF number.
So the greatest common factor 58689 and 58695 is 3.

Also check out the Least Common Multiple of 58689 and 58695