What is the Greatest Common Factor of 24186 and 24204?

Greatest common factor (GCF) of 24186 and 24204 is 6.

GCF(24186,24204) = 6

We will now calculate the prime factors of 24186 and 24204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24186 and 24204.

How to find the GCF of 24186 and 24204?

We will first find the prime factorization of 24186 and 24204. After we will calculate the factors of 24186 and 24204 and find the biggest common factor number .

Step-1: Prime Factorization of 24186

Prime factors of 24186 are 2, 3, 29, 139. Prime factorization of 24186 in exponential form is:

24186 = 2¹ × 3¹ × 29¹ × 139¹

Step-2: Prime Factorization of 24204

Prime factors of 24204 are 2, 3, 2017. Prime factorization of 24204 in exponential form is:

24204 = 2² × 3¹ × 2017¹

Step-3: Factors of 24186

List of positive integer factors of 24186 that divides 24186 without a remainder.

1, 2, 3, 6, 29, 58, 87, 139, 174, 278, 417, 834, 4031, 8062, 12093

Step-4: Factors of 24204

List of positive integer factors of 24204 that divides 24186 without a remainder.

1, 2, 3, 4, 6, 12, 2017, 4034, 6051, 8068, 12102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24186 and 24204. The biggest common factor number is the GCF number.
So the greatest common factor 24186 and 24204 is 6.

Also check out the Least Common Multiple of 24186 and 24204