What is the Greatest Common Factor of 58230 and 58240?

Greatest common factor (GCF) of 58230 and 58240 is 10.

GCF(58230,58240) = 10

We will now calculate the prime factors of 58230 and 58240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58230 and 58240.

How to find the GCF of 58230 and 58240?

We will first find the prime factorization of 58230 and 58240. After we will calculate the factors of 58230 and 58240 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 58240

Prime factors of 58240 are 2, 5, 7, 13. Prime factorization of 58240 in exponential form is:

58240 = 2⁷ × 5¹ × 7¹ × 13¹

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 58240

List of positive integer factors of 58240 that divides 58230 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 64, 65, 70, 80, 91, 104, 112, 128, 130, 140, 160, 182, 208, 224, 260, 280, 320, 364, 416, 448, 455, 520, 560, 640, 728, 832, 896, 910, 1040, 1120, 1456, 1664, 1820, 2080, 2240, 2912, 3640, 4160, 4480, 5824, 7280, 8320, 11648, 14560, 29120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58230 and 58240. The biggest common factor number is the GCF number.
So the greatest common factor 58230 and 58240 is 10.

Also check out the Least Common Multiple of 58230 and 58240