What is the Greatest Common Factor of 56160 and 56176?

Greatest common factor (GCF) of 56160 and 56176 is 16.

GCF(56160,56176) = 16

We will now calculate the prime factors of 56160 and 56176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56176.

How to find the GCF of 56160 and 56176?

We will first find the prime factorization of 56160 and 56176. After we will calculate the factors of 56160 and 56176 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 56176

Prime factors of 56176 are 2, 3511. Prime factorization of 56176 in exponential form is:

56176 = 2⁴ × 3511¹

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 56176

List of positive integer factors of 56176 that divides 56160 without a remainder.

1, 2, 4, 8, 16, 3511, 7022, 14044, 28088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56176. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56176 is 16.

Also check out the Least Common Multiple of 56160 and 56176