What is the Greatest Common Factor of 24357 and 24366?

Greatest common factor (GCF) of 24357 and 24366 is 3.

GCF(24357,24366) = 3

We will now calculate the prime factors of 24357 and 24366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24357 and 24366.

How to find the GCF of 24357 and 24366?

We will first find the prime factorization of 24357 and 24366. After we will calculate the factors of 24357 and 24366 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 24366

Prime factors of 24366 are 2, 3, 31, 131. Prime factorization of 24366 in exponential form is:

24366 = 2¹ × 3¹ × 31¹ × 131¹

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 24366

List of positive integer factors of 24366 that divides 24357 without a remainder.

1, 2, 3, 6, 31, 62, 93, 131, 186, 262, 393, 786, 4061, 8122, 12183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24357 and 24366. The biggest common factor number is the GCF number.
So the greatest common factor 24357 and 24366 is 3.

Also check out the Least Common Multiple of 24357 and 24366