What is the Greatest Common Factor of 24192 and 24209?

Greatest common factor (GCF) of 24192 and 24209 is 1.

GCF(24192,24209) = 1

We will now calculate the prime factors of 24192 and 24209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24192 and 24209.

How to find the GCF of 24192 and 24209?

We will first find the prime factorization of 24192 and 24209. After we will calculate the factors of 24192 and 24209 and find the biggest common factor number .

Step-1: Prime Factorization of 24192

Prime factors of 24192 are 2, 3, 7. Prime factorization of 24192 in exponential form is:

24192 = 2⁷ × 3³ × 7¹

Step-2: Prime Factorization of 24209

Prime factors of 24209 are 43, 563. Prime factorization of 24209 in exponential form is:

24209 = 43¹ × 563¹

Step-3: Factors of 24192

List of positive integer factors of 24192 that divides 24192 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 84, 96, 108, 112, 126, 128, 144, 168, 189, 192, 216, 224, 252, 288, 336, 378, 384, 432, 448, 504, 576, 672, 756, 864, 896, 1008, 1152, 1344, 1512, 1728, 2016, 2688, 3024, 3456, 4032, 6048, 8064, 12096

Step-4: Factors of 24209

List of positive integer factors of 24209 that divides 24192 without a remainder.

1, 43, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24192 and 24209. The biggest common factor number is the GCF number.
So the greatest common factor 24192 and 24209 is 1.

Also check out the Least Common Multiple of 24192 and 24209