What is the Greatest Common Factor of 58560 and 58576?

Greatest common factor (GCF) of 58560 and 58576 is 16.

GCF(58560,58576) = 16

We will now calculate the prime factors of 58560 and 58576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58560 and 58576.

How to find the GCF of 58560 and 58576?

We will first find the prime factorization of 58560 and 58576. After we will calculate the factors of 58560 and 58576 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 58576

Prime factors of 58576 are 2, 7, 523. Prime factorization of 58576 in exponential form is:

58576 = 2⁴ × 7¹ × 523¹

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 58576

List of positive integer factors of 58576 that divides 58560 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 523, 1046, 2092, 3661, 4184, 7322, 8368, 14644, 29288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58560 and 58576. The biggest common factor number is the GCF number.
So the greatest common factor 58560 and 58576 is 16.

Also check out the Least Common Multiple of 58560 and 58576