What is the Greatest Common Factor of 58695 and 58701?

Greatest common factor (GCF) of 58695 and 58701 is 3.

GCF(58695,58701) = 3

We will now calculate the prime factors of 58695 and 58701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58695 and 58701.

How to find the GCF of 58695 and 58701?

We will first find the prime factorization of 58695 and 58701. After we will calculate the factors of 58695 and 58701 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 58701

Prime factors of 58701 are 3, 17, 1151. Prime factorization of 58701 in exponential form is:

58701 = 3¹ × 17¹ × 1151¹

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 58701

List of positive integer factors of 58701 that divides 58695 without a remainder.

1, 3, 17, 51, 1151, 3453, 19567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58695 and 58701. The biggest common factor number is the GCF number.
So the greatest common factor 58695 and 58701 is 3.

Also check out the Least Common Multiple of 58695 and 58701