What is the Greatest Common Factor of 23174 and 23184?

Greatest common factor (GCF) of 23174 and 23184 is 2.

GCF(23174,23184) = 2

We will now calculate the prime factors of 23174 and 23184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23174 and 23184.

How to find the GCF of 23174 and 23184?

We will first find the prime factorization of 23174 and 23184. After we will calculate the factors of 23174 and 23184 and find the biggest common factor number .

Step-1: Prime Factorization of 23174

Prime factors of 23174 are 2, 11587. Prime factorization of 23174 in exponential form is:

23174 = 2¹ × 11587¹

Step-2: 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-3: Factors of 23174

List of positive integer factors of 23174 that divides 23174 without a remainder.

1, 2, 11587

Step-4: Factors of 23184

List of positive integer factors of 23184 that divides 23174 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23174 and 23184. The biggest common factor number is the GCF number.
So the greatest common factor 23174 and 23184 is 2.

Also check out the Least Common Multiple of 23174 and 23184