What is the Greatest Common Factor of 56160 and 56171?

Greatest common factor (GCF) of 56160 and 56171 is 1.

GCF(56160,56171) = 1

We will now calculate the prime factors of 56160 and 56171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56171.

How to find the GCF of 56160 and 56171?

We will first find the prime factorization of 56160 and 56171. After we will calculate the factors of 56160 and 56171 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 56171

Prime factors of 56171 are 56171. Prime factorization of 56171 in exponential form is:

56171 = 56171¹

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 56171

List of positive integer factors of 56171 that divides 56160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56171. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56171 is 1.

Also check out the Least Common Multiple of 56160 and 56171