What is the Greatest Common Factor of 24192 and 24196?

Greatest common factor (GCF) of 24192 and 24196 is 4.

GCF(24192,24196) = 4

We will now calculate the prime factors of 24192 and 24196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24192 and 24196.

How to find the GCF of 24192 and 24196?

We will first find the prime factorization of 24192 and 24196. After we will calculate the factors of 24192 and 24196 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 24196

Prime factors of 24196 are 2, 23, 263. Prime factorization of 24196 in exponential form is:

24196 = 2² × 23¹ × 263¹

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 24196

List of positive integer factors of 24196 that divides 24192 without a remainder.

1, 2, 4, 23, 46, 92, 263, 526, 1052, 6049, 12098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24192 and 24196. The biggest common factor number is the GCF number.
So the greatest common factor 24192 and 24196 is 4.

Also check out the Least Common Multiple of 24192 and 24196