What is the Greatest Common Factor of 56160 and 56178?

Greatest common factor (GCF) of 56160 and 56178 is 18.

GCF(56160,56178) = 18

We will now calculate the prime factors of 56160 and 56178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56178.

How to find the GCF of 56160 and 56178?

We will first find the prime factorization of 56160 and 56178. After we will calculate the factors of 56160 and 56178 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 56178

Prime factors of 56178 are 2, 3, 3121. Prime factorization of 56178 in exponential form is:

56178 = 2¹ × 3² × 3121¹

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 56178

List of positive integer factors of 56178 that divides 56160 without a remainder.

1, 2, 3, 6, 9, 18, 3121, 6242, 9363, 18726, 28089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56178. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56178 is 18.

Also check out the Least Common Multiple of 56160 and 56178