What is the Greatest Common Factor of 58560 and 58568?

Greatest common factor (GCF) of 58560 and 58568 is 8.

GCF(58560,58568) = 8

We will now calculate the prime factors of 58560 and 58568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58560 and 58568.

How to find the GCF of 58560 and 58568?

We will first find the prime factorization of 58560 and 58568. After we will calculate the factors of 58560 and 58568 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 58568

Prime factors of 58568 are 2, 7321. Prime factorization of 58568 in exponential form is:

58568 = 2³ × 7321¹

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 58568

List of positive integer factors of 58568 that divides 58560 without a remainder.

1, 2, 4, 8, 7321, 14642, 29284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58560 and 58568. The biggest common factor number is the GCF number.
So the greatest common factor 58560 and 58568 is 8.

Also check out the Least Common Multiple of 58560 and 58568