What is the Greatest Common Factor of 23184 and 23194?

Greatest common factor (GCF) of 23184 and 23194 is 2.

GCF(23184,23194) = 2

We will now calculate the prime factors of 23184 and 23194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23184 and 23194.

How to find the GCF of 23184 and 23194?

We will first find the prime factorization of 23184 and 23194. After we will calculate the factors of 23184 and 23194 and find the biggest common factor number .

Step-1: Prime Factorization of 23184

Prime factors of 23184 are 2, 3, 7, 23. Prime factorization of 23184 in exponential form is:

23184 = 2⁴ × 3² × 7¹ × 23¹

Step-2: Prime Factorization of 23194

Prime factors of 23194 are 2, 11597. Prime factorization of 23194 in exponential form is:

23194 = 2¹ × 11597¹

Step-3: Factors of 23184

List of positive integer factors of 23184 that divides 23184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 23, 24, 28, 36, 42, 46, 48, 56, 63, 69, 72, 84, 92, 112, 126, 138, 144, 161, 168, 184, 207, 252, 276, 322, 336, 368, 414, 483, 504, 552, 644, 828, 966, 1008, 1104, 1288, 1449, 1656, 1932, 2576, 2898, 3312, 3864, 5796, 7728, 11592

Step-4: Factors of 23194

List of positive integer factors of 23194 that divides 23184 without a remainder.

1, 2, 11597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23184 and 23194. The biggest common factor number is the GCF number.
So the greatest common factor 23184 and 23194 is 2.

Also check out the Least Common Multiple of 23184 and 23194