What is the Greatest Common Factor of 58560 and 58575?

Greatest common factor (GCF) of 58560 and 58575 is 15.

GCF(58560,58575) = 15

We will now calculate the prime factors of 58560 and 58575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58560 and 58575.

How to find the GCF of 58560 and 58575?

We will first find the prime factorization of 58560 and 58575. After we will calculate the factors of 58560 and 58575 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58575

Prime factors of 58575 are 3, 5, 11, 71. Prime factorization of 58575 in exponential form is:

58575 = 3¹ × 5² × 11¹ × 71¹

Step-3: Factors of 58560

List of positive integer factors of 58560 that divides 58560 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

Step-4: Factors of 58575

List of positive integer factors of 58575 that divides 58560 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 71, 75, 165, 213, 275, 355, 781, 825, 1065, 1775, 2343, 3905, 5325, 11715, 19525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58560 and 58575. The biggest common factor number is the GCF number.
So the greatest common factor 58560 and 58575 is 15.

Also check out the Least Common Multiple of 58560 and 58575