What is the Greatest Common Factor of 24057 and 24069?

Greatest common factor (GCF) of 24057 and 24069 is 3.

GCF(24057,24069) = 3

We will now calculate the prime factors of 24057 and 24069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24057 and 24069.

How to find the GCF of 24057 and 24069?

We will first find the prime factorization of 24057 and 24069. After we will calculate the factors of 24057 and 24069 and find the biggest common factor number .

Step-1: Prime Factorization of 24057

Prime factors of 24057 are 3, 11. Prime factorization of 24057 in exponential form is:

24057 = 3⁷ × 11¹

Step-2: 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-3: Factors of 24057

List of positive integer factors of 24057 that divides 24057 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2187, 2673, 8019

Step-4: Factors of 24069

List of positive integer factors of 24069 that divides 24057 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24057 and 24069. The biggest common factor number is the GCF number.
So the greatest common factor 24057 and 24069 is 3.

Also check out the Least Common Multiple of 24057 and 24069