What is the Greatest Common Factor of 24096 and 24100?

Greatest common factor (GCF) of 24096 and 24100 is 4.

GCF(24096,24100) = 4

We will now calculate the prime factors of 24096 and 24100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24096 and 24100.

How to find the GCF of 24096 and 24100?

We will first find the prime factorization of 24096 and 24100. After we will calculate the factors of 24096 and 24100 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 24100

Prime factors of 24100 are 2, 5, 241. Prime factorization of 24100 in exponential form is:

24100 = 2² × 5² × 241¹

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 24100

List of positive integer factors of 24100 that divides 24096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 241, 482, 964, 1205, 2410, 4820, 6025, 12050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24096 and 24100. The biggest common factor number is the GCF number.
So the greatest common factor 24096 and 24100 is 4.

Also check out the Least Common Multiple of 24096 and 24100