What is the Greatest Common Factor of 24178 and 24192?

Greatest common factor (GCF) of 24178 and 24192 is 14.

GCF(24178,24192) = 14

We will now calculate the prime factors of 24178 and 24192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24178 and 24192.

How to find the GCF of 24178 and 24192?

We will first find the prime factorization of 24178 and 24192. After we will calculate the factors of 24178 and 24192 and find the biggest common factor number .

Step-1: Prime Factorization of 24178

Prime factors of 24178 are 2, 7, 11, 157. Prime factorization of 24178 in exponential form is:

24178 = 2¹ × 7¹ × 11¹ × 157¹

Step-2: 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-3: Factors of 24178

List of positive integer factors of 24178 that divides 24178 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 157, 314, 1099, 1727, 2198, 3454, 12089

Step-4: Factors of 24192

List of positive integer factors of 24192 that divides 24178 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24178 and 24192. The biggest common factor number is the GCF number.
So the greatest common factor 24178 and 24192 is 14.

Also check out the Least Common Multiple of 24178 and 24192