What is the Greatest Common Factor of 58455 and 58470?

Greatest common factor (GCF) of 58455 and 58470 is 15.

GCF(58455,58470) = 15

We will now calculate the prime factors of 58455 and 58470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58455 and 58470.

How to find the GCF of 58455 and 58470?

We will first find the prime factorization of 58455 and 58470. After we will calculate the factors of 58455 and 58470 and find the biggest common factor number .

Step-1: Prime Factorization of 58455

Prime factors of 58455 are 3, 5, 433. Prime factorization of 58455 in exponential form is:

58455 = 3³ × 5¹ × 433¹

Step-2: Prime Factorization of 58470

Prime factors of 58470 are 2, 3, 5, 1949. Prime factorization of 58470 in exponential form is:

58470 = 2¹ × 3¹ × 5¹ × 1949¹

Step-3: Factors of 58455

List of positive integer factors of 58455 that divides 58455 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 433, 1299, 2165, 3897, 6495, 11691, 19485

Step-4: Factors of 58470

List of positive integer factors of 58470 that divides 58455 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1949, 3898, 5847, 9745, 11694, 19490, 29235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58455 and 58470. The biggest common factor number is the GCF number.
So the greatest common factor 58455 and 58470 is 15.

Also check out the Least Common Multiple of 58455 and 58470