What is the Greatest Common Factor of 58560 and 58565?

Greatest common factor (GCF) of 58560 and 58565 is 5.

GCF(58560,58565) = 5

We will now calculate the prime factors of 58560 and 58565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58560 and 58565.

How to find the GCF of 58560 and 58565?

We will first find the prime factorization of 58560 and 58565. After we will calculate the factors of 58560 and 58565 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 58565

Prime factors of 58565 are 5, 13, 17, 53. Prime factorization of 58565 in exponential form is:

58565 = 5¹ × 13¹ × 17¹ × 53¹

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 58565

List of positive integer factors of 58565 that divides 58560 without a remainder.

1, 5, 13, 17, 53, 65, 85, 221, 265, 689, 901, 1105, 3445, 4505, 11713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58560 and 58565. The biggest common factor number is the GCF number.
So the greatest common factor 58560 and 58565 is 5.

Also check out the Least Common Multiple of 58560 and 58565