What is the Greatest Common Factor of 24354 and 24372?

Greatest common factor (GCF) of 24354 and 24372 is 18.

GCF(24354,24372) = 18

We will now calculate the prime factors of 24354 and 24372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24354 and 24372.

How to find the GCF of 24354 and 24372?

We will first find the prime factorization of 24354 and 24372. After we will calculate the factors of 24354 and 24372 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 24372

Prime factors of 24372 are 2, 3, 677. Prime factorization of 24372 in exponential form is:

24372 = 2² × 3² × 677¹

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 24372

List of positive integer factors of 24372 that divides 24354 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 677, 1354, 2031, 2708, 4062, 6093, 8124, 12186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24354 and 24372. The biggest common factor number is the GCF number.
So the greatest common factor 24354 and 24372 is 18.

Also check out the Least Common Multiple of 24354 and 24372