What is the Greatest Common Factor of 58470 and 58484?

Greatest common factor (GCF) of 58470 and 58484 is 2.

GCF(58470,58484) = 2

We will now calculate the prime factors of 58470 and 58484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58470 and 58484.

How to find the GCF of 58470 and 58484?

We will first find the prime factorization of 58470 and 58484. After we will calculate the factors of 58470 and 58484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58484

Prime factors of 58484 are 2, 14621. Prime factorization of 58484 in exponential form is:

58484 = 2² × 14621¹

Step-3: Factors of 58470

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

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

Step-4: Factors of 58484

List of positive integer factors of 58484 that divides 58470 without a remainder.

1, 2, 4, 14621, 29242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58470 and 58484. The biggest common factor number is the GCF number.
So the greatest common factor 58470 and 58484 is 2.

Also check out the Least Common Multiple of 58470 and 58484