What is the Greatest Common Factor of 65184 and 65193?

Greatest common factor (GCF) of 65184 and 65193 is 3.

GCF(65184,65193) = 3

We will now calculate the prime factors of 65184 and 65193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65184 and 65193.

How to find the GCF of 65184 and 65193?

We will first find the prime factorization of 65184 and 65193. After we will calculate the factors of 65184 and 65193 and find the biggest common factor number .

Step-1: Prime Factorization of 65184

Prime factors of 65184 are 2, 3, 7, 97. Prime factorization of 65184 in exponential form is:

65184 = 2⁵ × 3¹ × 7¹ × 97¹

Step-2: Prime Factorization of 65193

Prime factors of 65193 are 3, 31, 701. Prime factorization of 65193 in exponential form is:

65193 = 3¹ × 31¹ × 701¹

Step-3: Factors of 65184

List of positive integer factors of 65184 that divides 65184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 97, 112, 168, 194, 224, 291, 336, 388, 582, 672, 679, 776, 1164, 1358, 1552, 2037, 2328, 2716, 3104, 4074, 4656, 5432, 8148, 9312, 10864, 16296, 21728, 32592

Step-4: Factors of 65193

List of positive integer factors of 65193 that divides 65184 without a remainder.

1, 3, 31, 93, 701, 2103, 21731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65184 and 65193. The biggest common factor number is the GCF number.
So the greatest common factor 65184 and 65193 is 3.

Also check out the Least Common Multiple of 65184 and 65193