What is the Greatest Common Factor of 41184 and 41197?

Greatest common factor (GCF) of 41184 and 41197 is 13.

GCF(41184,41197) = 13

We will now calculate the prime factors of 41184 and 41197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41184 and 41197.

How to find the GCF of 41184 and 41197?

We will first find the prime factorization of 41184 and 41197. After we will calculate the factors of 41184 and 41197 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 41197

Prime factors of 41197 are 13, 3169. Prime factorization of 41197 in exponential form is:

41197 = 13¹ × 3169¹

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 41197

List of positive integer factors of 41197 that divides 41184 without a remainder.

1, 13, 3169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41184 and 41197. The biggest common factor number is the GCF number.
So the greatest common factor 41184 and 41197 is 13.

Also check out the Least Common Multiple of 41184 and 41197