What is the Greatest Common Factor of 56140 and 56160?

Greatest common factor (GCF) of 56140 and 56160 is 20.

GCF(56140,56160) = 20

We will now calculate the prime factors of 56140 and 56160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56140 and 56160.

How to find the GCF of 56140 and 56160?

We will first find the prime factorization of 56140 and 56160. After we will calculate the factors of 56140 and 56160 and find the biggest common factor number .

Step-1: Prime Factorization of 56140

Prime factors of 56140 are 2, 5, 7, 401. Prime factorization of 56140 in exponential form is:

56140 = 2² × 5¹ × 7¹ × 401¹

Step-2: 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-3: Factors of 56140

List of positive integer factors of 56140 that divides 56140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 401, 802, 1604, 2005, 2807, 4010, 5614, 8020, 11228, 14035, 28070

Step-4: Factors of 56160

List of positive integer factors of 56160 that divides 56140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56140 and 56160. The biggest common factor number is the GCF number.
So the greatest common factor 56140 and 56160 is 20.

Also check out the Least Common Multiple of 56140 and 56160