What is the Greatest Common Factor of 41184 and 41189?

Greatest common factor (GCF) of 41184 and 41189 is 1.

GCF(41184,41189) = 1

We will now calculate the prime factors of 41184 and 41189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41184 and 41189.

How to find the GCF of 41184 and 41189?

We will first find the prime factorization of 41184 and 41189. After we will calculate the factors of 41184 and 41189 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 41189

Prime factors of 41189 are 41189. Prime factorization of 41189 in exponential form is:

41189 = 41189¹

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 41189

List of positive integer factors of 41189 that divides 41184 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41184 and 41189. The biggest common factor number is the GCF number.
So the greatest common factor 41184 and 41189 is 1.

Also check out the Least Common Multiple of 41184 and 41189