What is the Greatest Common Factor of 24320 and 24324?

Greatest common factor (GCF) of 24320 and 24324 is 4.

GCF(24320,24324) = 4

We will now calculate the prime factors of 24320 and 24324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24320 and 24324.

How to find the GCF of 24320 and 24324?

We will first find the prime factorization of 24320 and 24324. After we will calculate the factors of 24320 and 24324 and find the biggest common factor number .

Step-1: Prime Factorization of 24320

Prime factors of 24320 are 2, 5, 19. Prime factorization of 24320 in exponential form is:

24320 = 2⁸ × 5¹ × 19¹

Step-2: Prime Factorization of 24324

Prime factors of 24324 are 2, 3, 2027. Prime factorization of 24324 in exponential form is:

24324 = 2² × 3¹ × 2027¹

Step-3: Factors of 24320

List of positive integer factors of 24320 that divides 24320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 128, 152, 160, 190, 256, 304, 320, 380, 608, 640, 760, 1216, 1280, 1520, 2432, 3040, 4864, 6080, 12160

Step-4: Factors of 24324

List of positive integer factors of 24324 that divides 24320 without a remainder.

1, 2, 3, 4, 6, 12, 2027, 4054, 6081, 8108, 12162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24320 and 24324. The biggest common factor number is the GCF number.
So the greatest common factor 24320 and 24324 is 4.

Also check out the Least Common Multiple of 24320 and 24324