What is the Greatest Common Factor of 58452 and 58470?

Greatest common factor (GCF) of 58452 and 58470 is 6.

GCF(58452,58470) = 6

We will now calculate the prime factors of 58452 and 58470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58452 and 58470.

How to find the GCF of 58452 and 58470?

We will first find the prime factorization of 58452 and 58470. After we will calculate the factors of 58452 and 58470 and find the biggest common factor number .

Step-1: Prime Factorization of 58452

Prime factors of 58452 are 2, 3, 4871. Prime factorization of 58452 in exponential form is:

58452 = 2² × 3¹ × 4871¹

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 58452

List of positive integer factors of 58452 that divides 58452 without a remainder.

1, 2, 3, 4, 6, 12, 4871, 9742, 14613, 19484, 29226

Step-4: Factors of 58470

List of positive integer factors of 58470 that divides 58452 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 58452 and 58470. The biggest common factor number is the GCF number.
So the greatest common factor 58452 and 58470 is 6.

Also check out the Least Common Multiple of 58452 and 58470