What is the Greatest Common Factor of 24357 and 24361?

Greatest common factor (GCF) of 24357 and 24361 is 1.

GCF(24357,24361) = 1

We will now calculate the prime factors of 24357 and 24361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24357 and 24361.

How to find the GCF of 24357 and 24361?

We will first find the prime factorization of 24357 and 24361. After we will calculate the factors of 24357 and 24361 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 24361

Prime factors of 24361 are 17, 1433. Prime factorization of 24361 in exponential form is:

24361 = 17¹ × 1433¹

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 24361

List of positive integer factors of 24361 that divides 24357 without a remainder.

1, 17, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24357 and 24361. The biggest common factor number is the GCF number.
So the greatest common factor 24357 and 24361 is 1.

Also check out the Least Common Multiple of 24357 and 24361