What is the Greatest Common Factor of 41164 and 41184?

Greatest common factor (GCF) of 41164 and 41184 is 4.

GCF(41164,41184) = 4

We will now calculate the prime factors of 41164 and 41184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41164 and 41184.

How to find the GCF of 41164 and 41184?

We will first find the prime factorization of 41164 and 41184. After we will calculate the factors of 41164 and 41184 and find the biggest common factor number .

Step-1: Prime Factorization of 41164

Prime factors of 41164 are 2, 41, 251. Prime factorization of 41164 in exponential form is:

41164 = 2² × 41¹ × 251¹

Step-2: 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-3: Factors of 41164

List of positive integer factors of 41164 that divides 41164 without a remainder.

1, 2, 4, 41, 82, 164, 251, 502, 1004, 10291, 20582

Step-4: Factors of 41184

List of positive integer factors of 41184 that divides 41164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41164 and 41184. The biggest common factor number is the GCF number.
So the greatest common factor 41164 and 41184 is 4.

Also check out the Least Common Multiple of 41164 and 41184