What is the Greatest Common Factor of 65172 and 65184?

Greatest common factor (GCF) of 65172 and 65184 is 12.

GCF(65172,65184) = 12

We will now calculate the prime factors of 65172 and 65184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65172 and 65184.

How to find the GCF of 65172 and 65184?

We will first find the prime factorization of 65172 and 65184. After we will calculate the factors of 65172 and 65184 and find the biggest common factor number .

Step-1: Prime Factorization of 65172

Prime factors of 65172 are 2, 3, 5431. Prime factorization of 65172 in exponential form is:

65172 = 2² × 3¹ × 5431¹

Step-2: 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-3: Factors of 65172

List of positive integer factors of 65172 that divides 65172 without a remainder.

1, 2, 3, 4, 6, 12, 5431, 10862, 16293, 21724, 32586

Step-4: Factors of 65184

List of positive integer factors of 65184 that divides 65172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65172 and 65184. The biggest common factor number is the GCF number.
So the greatest common factor 65172 and 65184 is 12.

Also check out the Least Common Multiple of 65172 and 65184