What is the Greatest Common Factor of 24096 and 24109?

Greatest common factor (GCF) of 24096 and 24109 is 1.

GCF(24096,24109) = 1

We will now calculate the prime factors of 24096 and 24109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24096 and 24109.

How to find the GCF of 24096 and 24109?

We will first find the prime factorization of 24096 and 24109. After we will calculate the factors of 24096 and 24109 and find the biggest common factor number .

Step-1: Prime Factorization of 24096

Prime factors of 24096 are 2, 3, 251. Prime factorization of 24096 in exponential form is:

24096 = 2⁵ × 3¹ × 251¹

Step-2: Prime Factorization of 24109

Prime factors of 24109 are 24109. Prime factorization of 24109 in exponential form is:

24109 = 24109¹

Step-3: Factors of 24096

List of positive integer factors of 24096 that divides 24096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 8032, 12048

Step-4: Factors of 24109

List of positive integer factors of 24109 that divides 24096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24096 and 24109. The biggest common factor number is the GCF number.
So the greatest common factor 24096 and 24109 is 1.

Also check out the Least Common Multiple of 24096 and 24109