What is the Greatest Common Factor of 65169 and 65184?

Greatest common factor (GCF) of 65169 and 65184 is 3.

GCF(65169,65184) = 3

We will now calculate the prime factors of 65169 and 65184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65169 and 65184.

How to find the GCF of 65169 and 65184?

We will first find the prime factorization of 65169 and 65184. After we will calculate the factors of 65169 and 65184 and find the biggest common factor number .

Step-1: Prime Factorization of 65169

Prime factors of 65169 are 3, 13, 557. Prime factorization of 65169 in exponential form is:

65169 = 3² × 13¹ × 557¹

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 65169

List of positive integer factors of 65169 that divides 65169 without a remainder.

1, 3, 9, 13, 39, 117, 557, 1671, 5013, 7241, 21723

Step-4: Factors of 65184

List of positive integer factors of 65184 that divides 65169 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 65169 and 65184. The biggest common factor number is the GCF number.
So the greatest common factor 65169 and 65184 is 3.

Also check out the Least Common Multiple of 65169 and 65184