What is the Greatest Common Factor of 56160 and 56180?

Greatest common factor (GCF) of 56160 and 56180 is 20.

GCF(56160,56180) = 20

We will now calculate the prime factors of 56160 and 56180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56180.

How to find the GCF of 56160 and 56180?

We will first find the prime factorization of 56160 and 56180. After we will calculate the factors of 56160 and 56180 and find the biggest common factor number .

Step-1: Prime Factorization of 56160

Prime factors of 56160 are 2, 3, 5, 13. Prime factorization of 56160 in exponential form is:

56160 = 2⁵ × 3³ × 5¹ × 13¹

Step-2: Prime Factorization of 56180

Prime factors of 56180 are 2, 5, 53. Prime factorization of 56180 in exponential form is:

56180 = 2² × 5¹ × 53²

Step-3: Factors of 56160

List of positive integer factors of 56160 that divides 56160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 32, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 96, 104, 108, 117, 120, 130, 135, 144, 156, 160, 180, 195, 208, 216, 234, 240, 260, 270, 288, 312, 351, 360, 390, 416, 432, 468, 480, 520, 540, 585, 624, 702, 720, 780, 864, 936, 1040, 1080, 1170, 1248, 1404, 1440, 1560, 1755, 1872, 2080, 2160, 2340, 2808, 3120, 3510, 3744, 4320, 4680, 5616, 6240, 7020, 9360, 11232, 14040, 18720, 28080

Step-4: Factors of 56180

List of positive integer factors of 56180 that divides 56160 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060, 2809, 5618, 11236, 14045, 28090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56180. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56180 is 20.

Also check out the Least Common Multiple of 56160 and 56180