What is the Greatest Common Factor of 24174 and 24187?

Greatest common factor (GCF) of 24174 and 24187 is 1.

GCF(24174,24187) = 1

We will now calculate the prime factors of 24174 and 24187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24174 and 24187.

How to find the GCF of 24174 and 24187?

We will first find the prime factorization of 24174 and 24187. After we will calculate the factors of 24174 and 24187 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 24187

Prime factors of 24187 are 19, 67. Prime factorization of 24187 in exponential form is:

24187 = 19² × 67¹

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 24187

List of positive integer factors of 24187 that divides 24174 without a remainder.

1, 19, 67, 361, 1273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24174 and 24187. The biggest common factor number is the GCF number.
So the greatest common factor 24174 and 24187 is 1.

Also check out the Least Common Multiple of 24174 and 24187