What is the Greatest Common Factor of 41184 and 41200?

Greatest common factor (GCF) of 41184 and 41200 is 16.

GCF(41184,41200) = 16

We will now calculate the prime factors of 41184 and 41200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41184 and 41200.

How to find the GCF of 41184 and 41200?

We will first find the prime factorization of 41184 and 41200. After we will calculate the factors of 41184 and 41200 and find the biggest common factor number .

Step-1: Prime Factorization of 41184

Prime factors of 41184 are 2, 3, 11, 13. Prime factorization of 41184 in exponential form is:

41184 = 2⁵ × 3² × 11¹ × 13¹

Step-2: Prime Factorization of 41200

Prime factors of 41200 are 2, 5, 103. Prime factorization of 41200 in exponential form is:

41200 = 2⁴ × 5² × 103¹

Step-3: Factors of 41184

List of positive integer factors of 41184 that divides 41184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 18, 22, 24, 26, 32, 33, 36, 39, 44, 48, 52, 66, 72, 78, 88, 96, 99, 104, 117, 132, 143, 144, 156, 176, 198, 208, 234, 264, 286, 288, 312, 352, 396, 416, 429, 468, 528, 572, 624, 792, 858, 936, 1056, 1144, 1248, 1287, 1584, 1716, 1872, 2288, 2574, 3168, 3432, 3744, 4576, 5148, 6864, 10296, 13728, 20592

Step-4: Factors of 41200

List of positive integer factors of 41200 that divides 41184 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 103, 200, 206, 400, 412, 515, 824, 1030, 1648, 2060, 2575, 4120, 5150, 8240, 10300, 20600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41184 and 41200. The biggest common factor number is the GCF number.
So the greatest common factor 41184 and 41200 is 16.

Also check out the Least Common Multiple of 41184 and 41200