What is the Greatest Common Factor of 58224 and 58240?

Greatest common factor (GCF) of 58224 and 58240 is 16.

GCF(58224,58240) = 16

We will now calculate the prime factors of 58224 and 58240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58224 and 58240.

How to find the GCF of 58224 and 58240?

We will first find the prime factorization of 58224 and 58240. After we will calculate the factors of 58224 and 58240 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 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 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 58240

List of positive integer factors of 58240 that divides 58224 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 58224 and 58240. The biggest common factor number is the GCF number.
So the greatest common factor 58224 and 58240 is 16.

Also check out the Least Common Multiple of 58224 and 58240