What is the Greatest Common Factor of 24339 and 24357?

Greatest common factor (GCF) of 24339 and 24357 is 3.

GCF(24339,24357) = 3

We will now calculate the prime factors of 24339 and 24357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24339 and 24357.

How to find the GCF of 24339 and 24357?

We will first find the prime factorization of 24339 and 24357. After we will calculate the factors of 24339 and 24357 and find the biggest common factor number .

Step-1: Prime Factorization of 24339

Prime factors of 24339 are 3, 7, 19, 61. Prime factorization of 24339 in exponential form is:

24339 = 3¹ × 7¹ × 19¹ × 61¹

Step-2: 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-3: Factors of 24339

List of positive integer factors of 24339 that divides 24339 without a remainder.

1, 3, 7, 19, 21, 57, 61, 133, 183, 399, 427, 1159, 1281, 3477, 8113

Step-4: Factors of 24357

List of positive integer factors of 24357 that divides 24339 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24339 and 24357. The biggest common factor number is the GCF number.
So the greatest common factor 24339 and 24357 is 3.

Also check out the Least Common Multiple of 24339 and 24357