What is the Greatest Common Factor of 58230 and 58235?

Greatest common factor (GCF) of 58230 and 58235 is 5.

GCF(58230,58235) = 5

We will now calculate the prime factors of 58230 and 58235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58230 and 58235.

How to find the GCF of 58230 and 58235?

We will first find the prime factorization of 58230 and 58235. After we will calculate the factors of 58230 and 58235 and find the biggest common factor number .

Step-1: Prime Factorization of 58230

Prime factors of 58230 are 2, 3, 5, 647. Prime factorization of 58230 in exponential form is:

58230 = 2¹ × 3² × 5¹ × 647¹

Step-2: Prime Factorization of 58235

Prime factors of 58235 are 5, 19, 613. Prime factorization of 58235 in exponential form is:

58235 = 5¹ × 19¹ × 613¹

Step-3: Factors of 58230

List of positive integer factors of 58230 that divides 58230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 647, 1294, 1941, 3235, 3882, 5823, 6470, 9705, 11646, 19410, 29115

Step-4: Factors of 58235

List of positive integer factors of 58235 that divides 58230 without a remainder.

1, 5, 19, 95, 613, 3065, 11647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58230 and 58235. The biggest common factor number is the GCF number.
So the greatest common factor 58230 and 58235 is 5.

Also check out the Least Common Multiple of 58230 and 58235