What is the Greatest Common Factor of 41184 and 41196?

Greatest common factor (GCF) of 41184 and 41196 is 12.

GCF(41184,41196) = 12

We will now calculate the prime factors of 41184 and 41196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41184 and 41196.

How to find the GCF of 41184 and 41196?

We will first find the prime factorization of 41184 and 41196. After we will calculate the factors of 41184 and 41196 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 41196

Prime factors of 41196 are 2, 3, 3433. Prime factorization of 41196 in exponential form is:

41196 = 2² × 3¹ × 3433¹

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 41196

List of positive integer factors of 41196 that divides 41184 without a remainder.

1, 2, 3, 4, 6, 12, 3433, 6866, 10299, 13732, 20598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41184 and 41196. The biggest common factor number is the GCF number.
So the greatest common factor 41184 and 41196 is 12.

Also check out the Least Common Multiple of 41184 and 41196