What is the Greatest Common Factor of 24192 and 24199?

Greatest common factor (GCF) of 24192 and 24199 is 7.

GCF(24192,24199) = 7

We will now calculate the prime factors of 24192 and 24199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24192 and 24199.

How to find the GCF of 24192 and 24199?

We will first find the prime factorization of 24192 and 24199. After we will calculate the factors of 24192 and 24199 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 24199

Prime factors of 24199 are 7, 3457. Prime factorization of 24199 in exponential form is:

24199 = 7¹ × 3457¹

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 24199

List of positive integer factors of 24199 that divides 24192 without a remainder.

1, 7, 3457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24192 and 24199. The biggest common factor number is the GCF number.
So the greatest common factor 24192 and 24199 is 7.

Also check out the Least Common Multiple of 24192 and 24199