What is the Greatest Common Factor of 24172 and 24184?

Greatest common factor (GCF) of 24172 and 24184 is 4.

GCF(24172,24184) = 4

We will now calculate the prime factors of 24172 and 24184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24172 and 24184.

How to find the GCF of 24172 and 24184?

We will first find the prime factorization of 24172 and 24184. After we will calculate the factors of 24172 and 24184 and find the biggest common factor number .

Step-1: Prime Factorization of 24172

Prime factors of 24172 are 2, 6043. Prime factorization of 24172 in exponential form is:

24172 = 2² × 6043¹

Step-2: Prime Factorization of 24184

Prime factors of 24184 are 2, 3023. Prime factorization of 24184 in exponential form is:

24184 = 2³ × 3023¹

Step-3: Factors of 24172

List of positive integer factors of 24172 that divides 24172 without a remainder.

1, 2, 4, 6043, 12086

Step-4: Factors of 24184

List of positive integer factors of 24184 that divides 24172 without a remainder.

1, 2, 4, 8, 3023, 6046, 12092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24172 and 24184. The biggest common factor number is the GCF number.
So the greatest common factor 24172 and 24184 is 4.

Also check out the Least Common Multiple of 24172 and 24184