What is the Greatest Common Factor of 56160 and 56164?

Greatest common factor (GCF) of 56160 and 56164 is 4.

GCF(56160,56164) = 4

We will now calculate the prime factors of 56160 and 56164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56160 and 56164.

How to find the GCF of 56160 and 56164?

We will first find the prime factorization of 56160 and 56164. After we will calculate the factors of 56160 and 56164 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 56164

Prime factors of 56164 are 2, 19, 739. Prime factorization of 56164 in exponential form is:

56164 = 2² × 19¹ × 739¹

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 56164

List of positive integer factors of 56164 that divides 56160 without a remainder.

1, 2, 4, 19, 38, 76, 739, 1478, 2956, 14041, 28082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56160 and 56164. The biggest common factor number is the GCF number.
So the greatest common factor 56160 and 56164 is 4.

Also check out the Least Common Multiple of 56160 and 56164