What is the Greatest Common Factor of 24192 and 24198?

Greatest common factor (GCF) of 24192 and 24198 is 6.

GCF(24192,24198) = 6

We will now calculate the prime factors of 24192 and 24198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24192 and 24198.

How to find the GCF of 24192 and 24198?

We will first find the prime factorization of 24192 and 24198. After we will calculate the factors of 24192 and 24198 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 24198

Prime factors of 24198 are 2, 3, 37, 109. Prime factorization of 24198 in exponential form is:

24198 = 2¹ × 3¹ × 37¹ × 109¹

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 24198

List of positive integer factors of 24198 that divides 24192 without a remainder.

1, 2, 3, 6, 37, 74, 109, 111, 218, 222, 327, 654, 4033, 8066, 12099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24192 and 24198. The biggest common factor number is the GCF number.
So the greatest common factor 24192 and 24198 is 6.

Also check out the Least Common Multiple of 24192 and 24198