What is the Greatest Common Factor of 24342 and 24354?

Greatest common factor (GCF) of 24342 and 24354 is 6.

GCF(24342,24354) = 6

We will now calculate the prime factors of 24342 and 24354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24342 and 24354.

How to find the GCF of 24342 and 24354?

We will first find the prime factorization of 24342 and 24354. After we will calculate the factors of 24342 and 24354 and find the biggest common factor number .

Step-1: Prime Factorization of 24342

Prime factors of 24342 are 2, 3, 4057. Prime factorization of 24342 in exponential form is:

24342 = 2¹ × 3¹ × 4057¹

Step-2: 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-3: Factors of 24342

List of positive integer factors of 24342 that divides 24342 without a remainder.

1, 2, 3, 6, 4057, 8114, 12171

Step-4: Factors of 24354

List of positive integer factors of 24354 that divides 24342 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24342 and 24354. The biggest common factor number is the GCF number.
So the greatest common factor 24342 and 24354 is 6.

Also check out the Least Common Multiple of 24342 and 24354