What is the Greatest Common Factor of 65184 and 65191?

Greatest common factor (GCF) of 65184 and 65191 is 7.

GCF(65184,65191) = 7

We will now calculate the prime factors of 65184 and 65191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65184 and 65191.

How to find the GCF of 65184 and 65191?

We will first find the prime factorization of 65184 and 65191. After we will calculate the factors of 65184 and 65191 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 65191

Prime factors of 65191 are 7, 67, 139. Prime factorization of 65191 in exponential form is:

65191 = 7¹ × 67¹ × 139¹

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 65191

List of positive integer factors of 65191 that divides 65184 without a remainder.

1, 7, 67, 139, 469, 973, 9313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65184 and 65191. The biggest common factor number is the GCF number.
So the greatest common factor 65184 and 65191 is 7.

Also check out the Least Common Multiple of 65184 and 65191