What is the Greatest Common Factor of 58470 and 58490?

Greatest common factor (GCF) of 58470 and 58490 is 10.

GCF(58470,58490) = 10

We will now calculate the prime factors of 58470 and 58490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58470 and 58490.

How to find the GCF of 58470 and 58490?

We will first find the prime factorization of 58470 and 58490. After we will calculate the factors of 58470 and 58490 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 58490

Prime factors of 58490 are 2, 5, 5849. Prime factorization of 58490 in exponential form is:

58490 = 2¹ × 5¹ × 5849¹

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 58490

List of positive integer factors of 58490 that divides 58470 without a remainder.

1, 2, 5, 10, 5849, 11698, 29245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58470 and 58490. The biggest common factor number is the GCF number.
So the greatest common factor 58470 and 58490 is 10.

Also check out the Least Common Multiple of 58470 and 58490