What is the Greatest Common Factor of 65184 and 65196?

Greatest common factor (GCF) of 65184 and 65196 is 12.

GCF(65184,65196) = 12

We will now calculate the prime factors of 65184 and 65196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65184 and 65196.

How to find the GCF of 65184 and 65196?

We will first find the prime factorization of 65184 and 65196. After we will calculate the factors of 65184 and 65196 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 65196

Prime factors of 65196 are 2, 3, 1811. Prime factorization of 65196 in exponential form is:

65196 = 2² × 3² × 1811¹

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 65196

List of positive integer factors of 65196 that divides 65184 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1811, 3622, 5433, 7244, 10866, 16299, 21732, 32598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65184 and 65196. The biggest common factor number is the GCF number.
So the greatest common factor 65184 and 65196 is 12.

Also check out the Least Common Multiple of 65184 and 65196