What is the Greatest Common Factor of 24099 and 24114?

Greatest common factor (GCF) of 24099 and 24114 is 3.

GCF(24099,24114) = 3

We will now calculate the prime factors of 24099 and 24114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24099 and 24114.

How to find the GCF of 24099 and 24114?

We will first find the prime factorization of 24099 and 24114. After we will calculate the factors of 24099 and 24114 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 24114

Prime factors of 24114 are 2, 3, 4019. Prime factorization of 24114 in exponential form is:

24114 = 2¹ × 3¹ × 4019¹

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 24114

List of positive integer factors of 24114 that divides 24099 without a remainder.

1, 2, 3, 6, 4019, 8038, 12057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24099 and 24114. The biggest common factor number is the GCF number.
So the greatest common factor 24099 and 24114 is 3.

Also check out the Least Common Multiple of 24099 and 24114