What is the Greatest Common Factor of 24129 and 24149?

Greatest common factor (GCF) of 24129 and 24149 is 1.

GCF(24129,24149) = 1

We will now calculate the prime factors of 24129 and 24149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24129 and 24149.

How to find the GCF of 24129 and 24149?

We will first find the prime factorization of 24129 and 24149. After we will calculate the factors of 24129 and 24149 and find the biggest common factor number .

Step-1: Prime Factorization of 24129

Prime factors of 24129 are 3, 7, 383. Prime factorization of 24129 in exponential form is:

24129 = 3² × 7¹ × 383¹

Step-2: Prime Factorization of 24149

Prime factors of 24149 are 19, 31, 41. Prime factorization of 24149 in exponential form is:

24149 = 19¹ × 31¹ × 41¹

Step-3: Factors of 24129

List of positive integer factors of 24129 that divides 24129 without a remainder.

1, 3, 7, 9, 21, 63, 383, 1149, 2681, 3447, 8043

Step-4: Factors of 24149

List of positive integer factors of 24149 that divides 24129 without a remainder.

1, 19, 31, 41, 589, 779, 1271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24129 and 24149. The biggest common factor number is the GCF number.
So the greatest common factor 24129 and 24149 is 1.

Also check out the Least Common Multiple of 24129 and 24149