What is the Greatest Common Factor of 24129 and 24135?

Greatest common factor (GCF) of 24129 and 24135 is 3.

GCF(24129,24135) = 3

We will now calculate the prime factors of 24129 and 24135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24129 and 24135.

How to find the GCF of 24129 and 24135?

We will first find the prime factorization of 24129 and 24135. After we will calculate the factors of 24129 and 24135 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 24135

Prime factors of 24135 are 3, 5, 1609. Prime factorization of 24135 in exponential form is:

24135 = 3¹ × 5¹ × 1609¹

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 24135

List of positive integer factors of 24135 that divides 24129 without a remainder.

1, 3, 5, 15, 1609, 4827, 8045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24129 and 24135. The biggest common factor number is the GCF number.
So the greatest common factor 24129 and 24135 is 3.

Also check out the Least Common Multiple of 24129 and 24135