What is the Greatest Common Factor of 24069 and 24075?

Greatest common factor (GCF) of 24069 and 24075 is 3.

GCF(24069,24075) = 3

We will now calculate the prime factors of 24069 and 24075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24069 and 24075.

How to find the GCF of 24069 and 24075?

We will first find the prime factorization of 24069 and 24075. After we will calculate the factors of 24069 and 24075 and find the biggest common factor number .

Step-1: Prime Factorization of 24069

Prime factors of 24069 are 3, 71, 113. Prime factorization of 24069 in exponential form is:

24069 = 3¹ × 71¹ × 113¹

Step-2: Prime Factorization of 24075

Prime factors of 24075 are 3, 5, 107. Prime factorization of 24075 in exponential form is:

24075 = 3² × 5² × 107¹

Step-3: Factors of 24069

List of positive integer factors of 24069 that divides 24069 without a remainder.

1, 3, 71, 113, 213, 339, 8023

Step-4: Factors of 24075

List of positive integer factors of 24075 that divides 24069 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 107, 225, 321, 535, 963, 1605, 2675, 4815, 8025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24069 and 24075. The biggest common factor number is the GCF number.
So the greatest common factor 24069 and 24075 is 3.

Also check out the Least Common Multiple of 24069 and 24075