What is the Greatest Common Factor of 58224 and 58230?

Greatest common factor (GCF) of 58224 and 58230 is 6.

GCF(58224,58230) = 6

We will now calculate the prime factors of 58224 and 58230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58224 and 58230.

How to find the GCF of 58224 and 58230?

We will first find the prime factorization of 58224 and 58230. After we will calculate the factors of 58224 and 58230 and find the biggest common factor number .

Step-1: Prime Factorization of 58224

Prime factors of 58224 are 2, 3, 1213. Prime factorization of 58224 in exponential form is:

58224 = 2⁴ × 3¹ × 1213¹

Step-2: 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-3: Factors of 58224

List of positive integer factors of 58224 that divides 58224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1213, 2426, 3639, 4852, 7278, 9704, 14556, 19408, 29112

Step-4: Factors of 58230

List of positive integer factors of 58230 that divides 58224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58224 and 58230. The biggest common factor number is the GCF number.
So the greatest common factor 58224 and 58230 is 6.

Also check out the Least Common Multiple of 58224 and 58230