What is the Greatest Common Factor of 24099 and 24108?

Greatest common factor (GCF) of 24099 and 24108 is 3.

GCF(24099,24108) = 3

We will now calculate the prime factors of 24099 and 24108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24099 and 24108.

How to find the GCF of 24099 and 24108?

We will first find the prime factorization of 24099 and 24108. After we will calculate the factors of 24099 and 24108 and find the biggest common factor number .

Step-1: Prime Factorization of 24099

Prime factors of 24099 are 3, 29, 277. Prime factorization of 24099 in exponential form is:

24099 = 3¹ × 29¹ × 277¹

Step-2: Prime Factorization of 24108

Prime factors of 24108 are 2, 3, 7, 41. Prime factorization of 24108 in exponential form is:

24108 = 2² × 3¹ × 7² × 41¹

Step-3: Factors of 24099

List of positive integer factors of 24099 that divides 24099 without a remainder.

1, 3, 29, 87, 277, 831, 8033

Step-4: Factors of 24108

List of positive integer factors of 24108 that divides 24099 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 49, 82, 84, 98, 123, 147, 164, 196, 246, 287, 294, 492, 574, 588, 861, 1148, 1722, 2009, 3444, 4018, 6027, 8036, 12054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24099 and 24108. The biggest common factor number is the GCF number.
So the greatest common factor 24099 and 24108 is 3.

Also check out the Least Common Multiple of 24099 and 24108