What is the Greatest Common Factor of 56160 and 56174?

Greatest common factor (GCF) of 56160 and 56174 is 2.

GCF(56160,56174) = 2

We will now calculate the prime factors of 56160 and 56174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56174.

How to find the GCF of 56160 and 56174?

We will first find the prime factorization of 56160 and 56174. After we will calculate the factors of 56160 and 56174 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 56174

Prime factors of 56174 are 2, 28087. Prime factorization of 56174 in exponential form is:

56174 = 2¹ × 28087¹

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 56174

List of positive integer factors of 56174 that divides 56160 without a remainder.

1, 2, 28087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56174. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56174 is 2.

Also check out the Least Common Multiple of 56160 and 56174