What is the Greatest Common Factor of 70176 and 70192?

Greatest common factor (GCF) of 70176 and 70192 is 16.

GCF(70176,70192) = 16

We will now calculate the prime factors of 70176 and 70192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70176 and 70192.

How to find the GCF of 70176 and 70192?

We will first find the prime factorization of 70176 and 70192. After we will calculate the factors of 70176 and 70192 and find the biggest common factor number .

Step-1: Prime Factorization of 70176

Prime factors of 70176 are 2, 3, 17, 43. Prime factorization of 70176 in exponential form is:

70176 = 2⁵ × 3¹ × 17¹ × 43¹

Step-2: Prime Factorization of 70192

Prime factors of 70192 are 2, 41, 107. Prime factorization of 70192 in exponential form is:

70192 = 2⁴ × 41¹ × 107¹

Step-3: Factors of 70176

List of positive integer factors of 70176 that divides 70176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 43, 48, 51, 68, 86, 96, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 544, 688, 731, 816, 1032, 1376, 1462, 1632, 2064, 2193, 2924, 4128, 4386, 5848, 8772, 11696, 17544, 23392, 35088

Step-4: Factors of 70192

List of positive integer factors of 70192 that divides 70176 without a remainder.

1, 2, 4, 8, 16, 41, 82, 107, 164, 214, 328, 428, 656, 856, 1712, 4387, 8774, 17548, 35096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70176 and 70192. The biggest common factor number is the GCF number.
So the greatest common factor 70176 and 70192 is 16.

Also check out the Least Common Multiple of 70176 and 70192