What is the Greatest Common Factor of 56160 and 56167?

Greatest common factor (GCF) of 56160 and 56167 is 1.

GCF(56160,56167) = 1

We will now calculate the prime factors of 56160 and 56167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56167.

How to find the GCF of 56160 and 56167?

We will first find the prime factorization of 56160 and 56167. After we will calculate the factors of 56160 and 56167 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 56167

Prime factors of 56167 are 56167. Prime factorization of 56167 in exponential form is:

56167 = 56167¹

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 56167

List of positive integer factors of 56167 that divides 56160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56167. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56167 is 1.

Also check out the Least Common Multiple of 56160 and 56167