What is the Greatest Common Factor of 58470 and 58488?

Greatest common factor (GCF) of 58470 and 58488 is 6.

GCF(58470,58488) = 6

We will now calculate the prime factors of 58470 and 58488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58470 and 58488.

How to find the GCF of 58470 and 58488?

We will first find the prime factorization of 58470 and 58488. After we will calculate the factors of 58470 and 58488 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 58488

Prime factors of 58488 are 2, 3, 2437. Prime factorization of 58488 in exponential form is:

58488 = 2³ × 3¹ × 2437¹

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 58488

List of positive integer factors of 58488 that divides 58470 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2437, 4874, 7311, 9748, 14622, 19496, 29244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58470 and 58488. The biggest common factor number is the GCF number.
So the greatest common factor 58470 and 58488 is 6.

Also check out the Least Common Multiple of 58470 and 58488