What is the Greatest Common Factor of 41184 and 41201?

Greatest common factor (GCF) of 41184 and 41201 is 1.

GCF(41184,41201) = 1

We will now calculate the prime factors of 41184 and 41201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41184 and 41201.

How to find the GCF of 41184 and 41201?

We will first find the prime factorization of 41184 and 41201. After we will calculate the factors of 41184 and 41201 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 41201

Prime factors of 41201 are 41201. Prime factorization of 41201 in exponential form is:

41201 = 41201¹

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 41201

List of positive integer factors of 41201 that divides 41184 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41184 and 41201. The biggest common factor number is the GCF number.
So the greatest common factor 41184 and 41201 is 1.

Also check out the Least Common Multiple of 41184 and 41201