What is the Greatest Common Factor of 65184 and 65201?

Greatest common factor (GCF) of 65184 and 65201 is 1.

GCF(65184,65201) = 1

We will now calculate the prime factors of 65184 and 65201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65184 and 65201.

How to find the GCF of 65184 and 65201?

We will first find the prime factorization of 65184 and 65201. After we will calculate the factors of 65184 and 65201 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 65201

Prime factors of 65201 are 113, 577. Prime factorization of 65201 in exponential form is:

65201 = 113¹ × 577¹

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 65201

List of positive integer factors of 65201 that divides 65184 without a remainder.

1, 113, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65184 and 65201. The biggest common factor number is the GCF number.
So the greatest common factor 65184 and 65201 is 1.

Also check out the Least Common Multiple of 65184 and 65201