What is the Greatest Common Factor of 58548 and 58560?

Greatest common factor (GCF) of 58548 and 58560 is 12.

GCF(58548,58560) = 12

We will now calculate the prime factors of 58548 and 58560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58548 and 58560.

How to find the GCF of 58548 and 58560?

We will first find the prime factorization of 58548 and 58560. After we will calculate the factors of 58548 and 58560 and find the biggest common factor number .

Step-1: Prime Factorization of 58548

Prime factors of 58548 are 2, 3, 7, 17, 41. Prime factorization of 58548 in exponential form is:

58548 = 2² × 3¹ × 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 58560

Prime factors of 58560 are 2, 3, 5, 61. Prime factorization of 58560 in exponential form is:

58560 = 2⁶ × 3¹ × 5¹ × 61¹

Step-3: Factors of 58548

List of positive integer factors of 58548 that divides 58548 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 41, 42, 51, 68, 82, 84, 102, 119, 123, 164, 204, 238, 246, 287, 357, 476, 492, 574, 697, 714, 861, 1148, 1394, 1428, 1722, 2091, 2788, 3444, 4182, 4879, 8364, 9758, 14637, 19516, 29274

Step-4: Factors of 58560

List of positive integer factors of 58560 that divides 58548 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 61, 64, 80, 96, 120, 122, 160, 183, 192, 240, 244, 305, 320, 366, 480, 488, 610, 732, 915, 960, 976, 1220, 1464, 1830, 1952, 2440, 2928, 3660, 3904, 4880, 5856, 7320, 9760, 11712, 14640, 19520, 29280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58548 and 58560. The biggest common factor number is the GCF number.
So the greatest common factor 58548 and 58560 is 12.

Also check out the Least Common Multiple of 58548 and 58560