What is the Greatest Common Factor of 58530 and 58545?

Greatest common factor (GCF) of 58530 and 58545 is 15.

GCF(58530,58545) = 15

We will now calculate the prime factors of 58530 and 58545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58530 and 58545.

How to find the GCF of 58530 and 58545?

We will first find the prime factorization of 58530 and 58545. After we will calculate the factors of 58530 and 58545 and find the biggest common factor number .

Step-1: Prime Factorization of 58530

Prime factors of 58530 are 2, 3, 5, 1951. Prime factorization of 58530 in exponential form is:

58530 = 2¹ × 3¹ × 5¹ × 1951¹

Step-2: Prime Factorization of 58545

Prime factors of 58545 are 3, 5, 1301. Prime factorization of 58545 in exponential form is:

58545 = 3² × 5¹ × 1301¹

Step-3: Factors of 58530

List of positive integer factors of 58530 that divides 58530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1951, 3902, 5853, 9755, 11706, 19510, 29265

Step-4: Factors of 58545

List of positive integer factors of 58545 that divides 58530 without a remainder.

1, 3, 5, 9, 15, 45, 1301, 3903, 6505, 11709, 19515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58530 and 58545. The biggest common factor number is the GCF number.
So the greatest common factor 58530 and 58545 is 15.

Also check out the Least Common Multiple of 58530 and 58545