What is the Greatest Common Factor of 24165 and 24174?

Greatest common factor (GCF) of 24165 and 24174 is 9.

GCF(24165,24174) = 9

We will now calculate the prime factors of 24165 and 24174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24165 and 24174.

How to find the GCF of 24165 and 24174?

We will first find the prime factorization of 24165 and 24174. After we will calculate the factors of 24165 and 24174 and find the biggest common factor number .

Step-1: Prime Factorization of 24165

Prime factors of 24165 are 3, 5, 179. Prime factorization of 24165 in exponential form is:

24165 = 3³ × 5¹ × 179¹

Step-2: Prime Factorization of 24174

Prime factors of 24174 are 2, 3, 17, 79. Prime factorization of 24174 in exponential form is:

24174 = 2¹ × 3² × 17¹ × 79¹

Step-3: Factors of 24165

List of positive integer factors of 24165 that divides 24165 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 179, 537, 895, 1611, 2685, 4833, 8055

Step-4: Factors of 24174

List of positive integer factors of 24174 that divides 24165 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 79, 102, 153, 158, 237, 306, 474, 711, 1343, 1422, 2686, 4029, 8058, 12087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24165 and 24174. The biggest common factor number is the GCF number.
So the greatest common factor 24165 and 24174 is 9.

Also check out the Least Common Multiple of 24165 and 24174