What is the Greatest Common Factor of 24174 and 24191?

Greatest common factor (GCF) of 24174 and 24191 is 17.

GCF(24174,24191) = 17

We will now calculate the prime factors of 24174 and 24191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24174 and 24191.

How to find the GCF of 24174 and 24191?

We will first find the prime factorization of 24174 and 24191. After we will calculate the factors of 24174 and 24191 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24191

Prime factors of 24191 are 17, 1423. Prime factorization of 24191 in exponential form is:

24191 = 17¹ × 1423¹

Step-3: Factors of 24174

List of positive integer factors of 24174 that divides 24174 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

Step-4: Factors of 24191

List of positive integer factors of 24191 that divides 24174 without a remainder.

1, 17, 1423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24174 and 24191. The biggest common factor number is the GCF number.
So the greatest common factor 24174 and 24191 is 17.

Also check out the Least Common Multiple of 24174 and 24191