What is the Greatest Common Factor of 24354 and 24368?

Greatest common factor (GCF) of 24354 and 24368 is 2.

GCF(24354,24368) = 2

We will now calculate the prime factors of 24354 and 24368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24354 and 24368.

How to find the GCF of 24354 and 24368?

We will first find the prime factorization of 24354 and 24368. After we will calculate the factors of 24354 and 24368 and find the biggest common factor number .

Step-1: Prime Factorization of 24354

Prime factors of 24354 are 2, 3, 11, 41. Prime factorization of 24354 in exponential form is:

24354 = 2¹ × 3³ × 11¹ × 41¹

Step-2: Prime Factorization of 24368

Prime factors of 24368 are 2, 1523. Prime factorization of 24368 in exponential form is:

24368 = 2⁴ × 1523¹

Step-3: Factors of 24354

List of positive integer factors of 24354 that divides 24354 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 41, 54, 66, 82, 99, 123, 198, 246, 297, 369, 451, 594, 738, 902, 1107, 1353, 2214, 2706, 4059, 8118, 12177

Step-4: Factors of 24368

List of positive integer factors of 24368 that divides 24354 without a remainder.

1, 2, 4, 8, 16, 1523, 3046, 6092, 12184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24354 and 24368. The biggest common factor number is the GCF number.
So the greatest common factor 24354 and 24368 is 2.

Also check out the Least Common Multiple of 24354 and 24368