What is the Greatest Common Factor of 24357 and 24365?

Greatest common factor (GCF) of 24357 and 24365 is 1.

GCF(24357,24365) = 1

We will now calculate the prime factors of 24357 and 24365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24357 and 24365.

How to find the GCF of 24357 and 24365?

We will first find the prime factorization of 24357 and 24365. After we will calculate the factors of 24357 and 24365 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 24365

Prime factors of 24365 are 5, 11, 443. Prime factorization of 24365 in exponential form is:

24365 = 5¹ × 11¹ × 443¹

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 24365

List of positive integer factors of 24365 that divides 24357 without a remainder.

1, 5, 11, 55, 443, 2215, 4873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24357 and 24365. The biggest common factor number is the GCF number.
So the greatest common factor 24357 and 24365 is 1.

Also check out the Least Common Multiple of 24357 and 24365