What is the Greatest Common Factor of 56160 and 56173?

Greatest common factor (GCF) of 56160 and 56173 is 13.

GCF(56160,56173) = 13

We will now calculate the prime factors of 56160 and 56173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56173.

How to find the GCF of 56160 and 56173?

We will first find the prime factorization of 56160 and 56173. After we will calculate the factors of 56160 and 56173 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 56173

Prime factors of 56173 are 13, 29, 149. Prime factorization of 56173 in exponential form is:

56173 = 13¹ × 29¹ × 149¹

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 56173

List of positive integer factors of 56173 that divides 56160 without a remainder.

1, 13, 29, 149, 377, 1937, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56173. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56173 is 13.

Also check out the Least Common Multiple of 56160 and 56173