What is the Greatest Common Factor of 24357 and 24369?

Greatest common factor (GCF) of 24357 and 24369 is 3.

GCF(24357,24369) = 3

We will now calculate the prime factors of 24357 and 24369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24357 and 24369.

How to find the GCF of 24357 and 24369?

We will first find the prime factorization of 24357 and 24369. After we will calculate the factors of 24357 and 24369 and find the biggest common factor number .

Step-1: Prime Factorization of 24357

Prime factors of 24357 are 3, 23, 353. Prime factorization of 24357 in exponential form is:

24357 = 3¹ × 23¹ × 353¹

Step-2: Prime Factorization of 24369

Prime factors of 24369 are 3, 8123. Prime factorization of 24369 in exponential form is:

24369 = 3¹ × 8123¹

Step-3: Factors of 24357

List of positive integer factors of 24357 that divides 24357 without a remainder.

1, 3, 23, 69, 353, 1059, 8119

Step-4: Factors of 24369

List of positive integer factors of 24369 that divides 24357 without a remainder.

1, 3, 8123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24357 and 24369. The biggest common factor number is the GCF number.
So the greatest common factor 24357 and 24369 is 3.

Also check out the Least Common Multiple of 24357 and 24369